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OPINION BOGGS, Chief Judge. Mary Anne Flynn was found murdered and raped in her Cleveland home in August 1984. Four months later, a Cleveland jury convicted Anthony Apanovitch for aggravated murder, aggravated burglary, and two counts of rape, and the Cuyahoga County Court of Common Pleas sentenced him to death and to 45-75 years of imprisonment. Following a tortured procedural history involving parallel state and federal criminal appeals, and collateral civil litigation, Apanovitch now appeals from the district court’s 1994 denial of his 1991 habeas petition, asking us to reverse the district court’s denial of the writ or, at a minimum, to order the district court to conduct an evidentiary hearing. Specifically, the petitioner raises four basic claims on appeal: (1) that the state improperly failed to provide him with favorable exculpatory and impeachment evidence in violation of Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963), and that these purported violations prevented him from presenting certain claims in his habeas petition filed in the district court pursuant to 28 U.S.C. § 2254; (2) that the state trial court improperly admitted the testimony of a prisoner who made one out-of-court statement to the prosecution but recanted that statement during voir dire; (3) that the trial court improperly admitted inflammatory and prejudicial hearsay by allowing certain witnesses to testify as to the victim’s alleged fears of the defendant; and (4) that insufficient evidence exists to support his conviction. On cross-appeal, the State of Ohio requests that, should we remand the case, we grant an evidentiary hearing so that the district court could authorize a DNA test comparing swabs of bodily fluids that had been collected from the victim’s body at the time of the murder investigation (which had allegedly been lost and later rediscovered in mid-1992) to the petitioner’s own DNA. In light of the state’s apparent failure to provide potentially exculpatory materials to Apanovitch prior to the filing of his petition, and of the untested nature of the DNA evidence, we reverse and remand the matter, noting that the district court retains the authority to conduct an evidentiary hearing should it deem it appropriate to do so. However, we affirm the district court’s order with respect to the remaining issues raised on appeal, including the Brady claims that we do not find to be meritorious, the petitioner’s challenges as to the admission of certain witnesses, and the insufficiency of evidence claim. I A Mary Anne Flynn, a young nurse and midwife, was employed at Cleveland Metropolitan General Hospital. On August 23, 1984, Flynn visited her brother Martin, leaving to return home at about 9:30 p.m. At approximately 10 p.m. on the evening of her death, one of Flynn’s neighbors heard her get out of her car and walk to the back door of the duplex she owned. Other neighbors heard her front door bang shut around that time. Around midnight, other neighbors heard a loud bang or thud from inside her house. The following day, Christine Schenk, Flynn’s co-worker and friend, became concerned when Flynn did not report to work. After unsuccessfully trying to contact her, Schenk called Flynn’s brother, and together they gained access to Flynn’s apartment through the tenants’ side of the basement of the duplex Flynn owned. They found the front door locked and chained from the inside, but a window in the basement appeared to have been forcibly opened, and one of the window sills was missing. In the second-floor bedroom, they discovered Flynn’s naked and battered corpse lying face-down on her mattress with her hands tied behind her back, with one end of what appeared to be a rolled-up bedsheet tied around her neck and the other end tied to the headboard. The cause of death was found to be asphyxia by cervical compression; in lay terms, she was strangled to death. Spermatozoa and other bodily fluids were found in her mouth and vagina. There were wood chips and slivers from the basement window sill in the bedroom and on her body, and a laceration on the back of her neck contained slivers of wood from the same window sill. The coroner later concluded she had died sometime between midnight and 6 a.m. But police found little physical evidence of the perpetrator. They found no bodily material under Flynn’s fingernails. The coroner discovered a small number of hairs, but only one of them was inconsistent with the victim’s hair. The only blood at the scene belonged to Flynn, and was on the bed and the corpse. The dusty basement floor did not reveal any footprints. The police identified a number of latent fingerprints, but none of them belonged to Anthony Apanoviteh, the man who became the department’s chief suspect. In fact, the only pieces of physical evidence from the crime scene that were even potentially linked to the perpetrator were the bodily fluids found in Flynn’s corpse, which had been emitted from a person who secretes blood type A. The police discovered that Apanoviteh secretes blood type A; they also discovered, but did not reveal, that the victim also secreted blood type A. B The day after discovering Flynn’s corpse, police found her checkbook on the kitchen table, and, inter alia, it contained a receipt for house painting made out to Anthony Apanoviteh. The checkbook also contained two cancelled checks indicating that Flynn had paid Apanoviteh for house painting in the past. During their investigation, police heard from several neighbors and friends that Flynn had expressed to them her fear of a “painter” in the weeks and months preceding her murder. Some of Flynn’s friends stated that she had told them that her fear of the “painter” had grown so severe that she had hired a realtor to begin searching for a new home elsewhere in Cleveland; in fact, one witness later testified that Flynn had told her about her plans to move at lunch on the day of her murder. Police soon came to suspect Apanoviteh. Police also learned that Apanoviteh had been painting houses across the street from Flynn’s home in addition to the work he had performed on her house, and that he had made numerous unrequited romantic advances toward her. Apanovitch’s coworker Dawson Goetchius supposedly told police that Apanoviteh had told him that Flynn was a “real fox” and that he would “like to get in her pants,” though, during trial, Goetchius denied having said anything of the sort. Rather, Goetchius testified that Apanoviteh had approached Flynn in her driveway on the afternoon before her murder to discuss painting Flynn’s basement window sills, but his words relating Apanovitch’s romantic interest in the victim were revealed to the jury. Meanwhile, police came to believe that the unusual layout of Flynn’s duplex required prior familiarity with the house in order to break into her part of the duplex through the basement, a knowledge that Apanoviteh undoubtedly possessed. Four days after discovering Flynn’s corpse, detectives arrested Apanoviteh. He did not attempt to flee and, once in custody, he waived his Miranda rights. He admitted that he knew the victim, that he had done some painting at her home, and that he had spoken with her on the afternoon before she was murdered. Apanoviteh had what seemed to be a new scratch on his face, and he stated that he had received it on the night of August 23. But his attempted explanations varied over time. While all of his accounts involved a man outside the Comet Bar who had experienced car trouble, he variously told investigators that (1) he had been involved in a knife fight, but was cut by flying glass, (2) a bottle fell and broke, and that the glass had scratched his face, (3) the hood of the unknown man’s car had scratched his face, (4) he had been scratched by backlash from the bottle, and (5) he had been in a fight. A physician working for the prosecution examined the scratch and later testified that it was consistent with injuries caused by broken glass drawn over the skin, by the tip of a knife, or, allegedly more likely, by fingernails. Police demanded an alibi. Apanovitch responded that he was unable to recall precisely when and how long he had spent in each of the several drinking establishments that he had patronized that evening. Moreover, he was unable to account for his entire evening: witnesses did not confirm his presence at any of the bars for the period running from around 9:15-10:00 p.m. until 12:45 a.m. that night. Later, at trial, one witness recalled that he had seen Apanovitch at one bar (within walking distance of Flynn’s home) around 11-11:15 p.m., but he had failed to mention this to police investigators. Worse, from the investigators’ perspective, Apanovitch approached waiters at the bars after his release from jail and asked them to recall his presence in their bars that night at particular times. When asked to provide hair and blood samples, he voluntarily provided them. Police released Apanovitch from jail two days afterwards. Two weeks later, police asked him to return so that medical personnel could examine his penis for bite marks; he complied, and no marks were found. The police could not find any physical evidence that directly linked Apanovitch to the crime scene, and they found neither blood nor any of the victim’s hair on his clothes. In fact, the police department’s only physical evidence that even remotely linked Apanovitch to the crime scene was the fact that he was a secretor of blood type A, consistent with the blood type found in the oral and vaginal swabs of Flynn’s body. The grand jury indicted Apanovitch on October 2 for aggravated murder with felony murder specifications of burglary and rape. During pre-trial proceedings, Apanovitch’s counsel filed the usual bevy of discovery demands. In response, the state noted that Apanovitch had made an (undisclosed) oral statement, provided a list of witnesses, and promised to disclose all potentially exculpatory evidence to Apanovitch before trial. As Apanovitch later learned, the state failed to abide by this duty. Trial commenced on November 28, 1984. The prosecution did not introduce any direct inculpatory evidence at trial, relying instead on circumstantial evidence. Specifically, the prosecution called several witnesses whose testimony is pertinent to our inquiry. First, the state called Dr. Balraj, the physician who had conducted Flynn’s autopsy and had examined Apanovitch’s facial scratch while he was in custody. Balraj testified that she had found sperm in the victim’s mouth and vagina, that there was no bodily tissue under the victim’s fingernails, and that the time of death was between midnight and 6 a.m. Dr. Balraj testified further that the scratch on Apanovitch’s face was consistent with a cut by glass, fingernails, or a knife, and so she neither confirmed nor denied Apanovitch’s attempted explanation for that scratch. Second, the state called Barbara Campbell, a trace evidence technician with the coroner’s office, who testified, in relevant part, that she had found an unidentified hair “on the back portion of the [victim’s] hand” (although she testified at the mitigation hearing that she had found the hair on “the victim’s right hand, the palm or surface [sic], which would have been facing up”), and that the hair was inconsistent with both the victim’s and Apanovitch’s hair. Campbell also testified that she had “found no physical evidence that would link [Apanovitch] with the death,” but that she did discover that whoever emitted the body fluids found in the swabs of the vietim’s mouth and vagina was a blood type A secretor. She further noted that Apanovitch himself was a blood type A secretor. She then testified that approximately 44-45% of the population had blood type A, and that 80% of all people secrete their blood type, so there were roughly 340,000 men in Cuyahoga County alone who could have emitted the fluids found on the swabs. Five police detectives testified as to their investigation. Most importantly, Detective Anthony Zalar testified that Apanovitch had called him to “ask[] me when he’s indicated [sic] would I please contact him first rather than just go arrest him. I guess his mother has a heart problem so that he could inform his mother first so she would know before he’s arrested.” (emphasis added). Defense counsel objected because the prosecution had not previously disclosed this statement. The prosecution responded that this had only been an oral statement, and so there was no written record of the conversation that they could have disclosed to the defense. Accepting that answer, the trial judge overruled the objection. On cross-examination, Detective Zalar said that he had been “stunned” when Apanoviteh had used the words “when I am indicted,” but he did not recall noting that statement in his report. Defense counsel then asked to review the detective’s written report, but the court instead instructed Zalar to review his report and confirm the truth of his statement. In response, the prosecution stipulated to the court that the statement was not in the report. The trial court, having been beguiled by the prosecution, rescinded its order, and so Zalar was not required to review his report or make any disclosure of his records to the defense. As will be discussed below, this prevented Apanovitch from discovering for more than eight years the discrepancies between the written report (which, contrary to the prosecution’s stipulation, included a summary of the conversation at issue) and Zalar’s trial testimony. Finally, five of Flynn’s friends testified regarding her fear of a “painter.” Some of Flynn’s neighbors testified as to the noises they claimed to have heard from inside her house on the night of the murder. Apanovitch’s co-worker then testified as to Apanovitch’s sexual interest in Flynn. Various waiters also testified as to their recollection of Apanovitch’s presence in their bars that night. On December 11, the prosecution rested its case. Before Apanoviteh began his defense, the state filed a motion to reopen its case-in-chief based upon “newly discovered evidence.” Howard Hammon, a defendant in an unrelated criminal matter, was housed in the same jail cell as Apanoviteh. After his attorney had informed him that the prosecution was interested in learning whether anyone had heard Apanoviteh make any statements regarding his case while in custody, Hammon told his attorney, and later several attorneys working for the prosecution, that he had heard Apanoviteh say “I might have done it but they’ll never prove it.” During voir dire, and under oath, however, Hammon recanted this statement, testifying that I was over a mental strain. I lost my mother a few weeks ago. I am back for parole violation, probably more charges and just got done listening to a bunch of tapes and I was drained. They came to me in the courtroom ... and they hit me at the wrong time and I said something that wasn’t true. The prosecutor read Hammon his earlier statement, and Hammon admitted having made that statement, but then said “he [Apanovitch] didn’t say that.” Hammon explained that he had recanted his story after speaking with Apanovitch’s lawyers, but he also testified that Apanovitch’s attorneys did not ask him to change his testimony or to refuse to testify. The court initially held that it would have been prejudicial to allow Hammon to testify, and so it denied the prosecution’s motion. After the defense rested its case, however, the court called Hammon as a court witness. As the judge explained: Let them [the jury] see the witness and let them judge whether he is telling the story before, telling five lawyers the same story, did he lie all five times, did he lie once.... I think that’s all things that the jury must consider and determine .... in the interest of justice in this case, particularly, I think the jury should be given all relevant and competent evidence. Therefore Hammon testified that he had told the prosecutors out of court that he had heard Apanovitch say “I might have done it, but they’ll never prove it. All they got is circumstantial evidence.” However, Hammon also testified that he had lied in making that statement. After the prosecution rested its case, Apanovitch filed a Rule 29 motion for acquittal, which the court declined. After Apanovitch’s counsel rested its case, the prosecution made its closing argument, which we summarize below: (1)that Apanovitch is a blood type A secretor, that 80% of the population are secretors, that one out of three men are blood type A positive secretors, and that the “individual who in fact raped here [sic] or the semen that was found inside of her body in different cavities was a type A — what’s the word, secreter [sic]”; (2) that the jury should disregard the unidentified hair because “It could have been found [sic] in transport.... It could have been consistent with 14 or 15 other people”; (3) that Apanovitch had told the police to “call me when I am indicted” (emphasis added) before he was in jail, a statement that, as the prosecution emphasized, had “stunned” Detective Zalar; (4) that people at the bars did not corroborate Apanovitch’s alibi, and that Apanovitch himself had returned to the bars after his release from jail to ask the waiters to remember that he was in particular bars between 9 and 10 p.m.; (5) that Flynn’s friends said that she had told them that she was afraid of Apanovitch; and (6) that Apanovitch had told the police that he had spoken with Flynn about painting her basement window sills, the very windows where the perpetrator probably entered or exited Flynn’s house, and the very same object (a basement window sill) that was used to bludgeon Flynn. The jury found Apanovitch guilty on all counts on December 14,1984. At the mitigation hearing, the prosecution argued, inter alia, that even though one could “fill Cleveland Stadium with the men in this town that were Type A, secreters [sic],” nevertheless, “if he would have been a Type B, secreter [sic], he wouldn’t be in this courtroom.” The prosecution also noted at this hearing, referring to Detective Zalar’s trial testimony regarding an allegedly unrecorded conversation with the petitioner, that Apanovitch had asked “when” he would be indicted, a fact that had “stunned” the detective. On January 8,1985, Apanovitch was sentenced to death for aggravated murder, and to 45-75 years imprisonment for the remainder of the counts. C Following Apanovitch’s conviction, the procedural history of this case grew progressively more convoluted. Apanovitch filed a timely direct appeal to the state’s Eighth District Court of Appeals, and that court affirmed his conviction on August 26, 1986. State v. Apanovitch, No. 49772, 1986 WL 9503, 1986 Ohio App. LEXIS 8046 (Ohio Ct.App. Aug. 26, 1986). Apanovitch then appealed to the Ohio Supreme Court. In a 4-3 decision, that court affirmed his conviction on October 7, 1987. State v. Apanovitch, 33 Ohio St.3d 19, 514 N.E.2d 394 (Ohio 1987). In an opinion that proved to be strikingly prescient, Justice Herbert Brown, writing a partial dissent in which two other justices joined, speculated that the fact that the victim had blood type A, in tandem with the fact that the report had been silent as to the victim’s secretor status, made it statistically probable that the victim had been, like 80% of all people of all blood types, a secretor who happened to have the same blood type as the defendant. “If the victim was a secretor, the recovery of a type A antigen from the swab obtained from the victim (who was herself a type A) offers no information concerning the blood type of the assailant, because the recovered antigens could have as easily originated from the victim as from the assailant.” Id. at 405 (Brown, J., dissenting in part) (emphasis omitted). Justice Brown thus raised the spectre that the serological report’s silence as to whether Flynn had been a blood type secretor may have rendered the serological evidence introduced at trial even less informative than it seemed at trial. Presumably in response to Justice Brown’s dissent, Barbara Campbell- — the technician who had testified at trial about the serological evidence — apparently took it upon herself in March 1988 to amend her report of the Flynn murder to reflect the fact that the victim had indeed been a blood type A secretor, a crucial fact that she had omitted from her original report and from her testimony. In the summer of 1988, Campbell filed an affidavit, stating that the fact that Flynn had been a secretor had been contained in her notes “used in the course of my examination in this case and was testified to at trial” and that “it was and still is my opinion that the number of spermatozoa ... from the oral swabs ... and the identification of seminal acid phosphates demonstrates sufficient concentration of semen to validate the blood group determination of ‘A’ ” for the perpetrator. Yet none of Campbell’s trial notes had been made available to the defense, and so it seems that the only serological evidence to which Apanovitch had access before or during trial had been Campbell’s report that remained silent as to the victim’s secretor status. Much later, in 1992, Apanovitch discovered that the police had apparently been made aware of the victim’s secretor status during the first few days of their investigation. His direct appeals having been fruitlessly exhausted, Apanovitch filed a petition to vacate or set aside judgment (the “first post-conviction petition”) with the Cuyahoga County Court of Common Pleas on June 2, 1988. Apanovitch therein argued, in relevant part, that (1) the new serological evidence (based on the state Supreme Court’s dissent and Campbell’s subsequently-amended report) demonstrated that his trial counsel had been rendered ineffective by their ignorance, and that the evidence’s omission had violated due process because it was not made available to him before trial; (2) the out-of-court statements of two witnesses (Hammon and Goetchius) had been improperly admitted into evidence, and Apanovitch’s trial counsel had been unconstitutionally ineffective in failing to request a jury instruction limiting the admissibility of out-of-court statements to impeachment purposes only; and (3) in light of this newly-discovered evidence, there was insufficient evidence to sustain the conviction. In response to this filing, the state Supreme Court stayed Apanovitch’s execution, effective June 8, 1988. State v. Apanovitch, 37 Ohio St.3d 713, 532 N.E.2d 765 (Ohio 1988). The Court of Common Pleas dismissed this first petition for post-conviction relief on April 7, 1989. In its decision, the court concluded, inter alia, that Apanovitch had failed to demonstrate that the serological evidence was both newly-discovered and material to his conviction. On April 26, 1989, shortly after the Court of Common Pleas dismissed his first petition, Apanovitch apparently asked the City of Cleveland to provide him access to the homicide investigative file. Presumably unhappy with the city’s response, Apanovitch instituted an action in Ohio courts against the City of Cleveland (“mandamus action”) on November 29, 1989, seeking a writ of mandamus to secure access to the police investigation records pursuant to Ohio’s public records laws as they had been interpreted at that time. This action would not bear fruit for three years, but it is precisely those records that would support the instant appeal because they suggest that the state may have violated Apanovitch’s constitutional rights during trial. On February 6, 1991, the state Court of Appeals granted in part and denied in part Apanovitch’s petition for a writ of mandamus, releasing 51 documents in toto, plus redacted portions of 15 of 39 other documents he had requested after it had conducted an in camera examination of the documents in question. State ex rel. Apanovitch v. Cleveland, No. 58867, 1991 WL 18676, 1991 Ohio App. LEXIS 663 (Ohio Ct.App. Feb. 6, 1991). However, Apanovitch received no records at that time because he appealed to Ohio’s Supreme Court, challenging the Court of Appeals’s partial denial of his mandamus petition. He would have to wait for nearly two more years before this action bore fruit. Meanwhile, on February 11, 1991, the state Court of Appeals denied Apanovitch’s appeal from the denial of his first post-conviction petition. State v. Apanovitch, 70 Ohio App.3d 758, 591 N.E.2d 1374 (Ohio Ct.App.1991). In part, the court held that the purported notation of the victim’s secretor status in Barbara Campbell’s trial notes, defense counsel’s cross-examination of Campbell regarding the secretor status of Apanovitch and the assailant (but not of the victim), and the analysis of Justice Brown (the author of the Ohio Supreme Court’s 1987 direct-appeal dissent) “persuade us that the defendant could have addressed this issue at trial or on direct appeal, but did not.” Id. at 1375. That court also concluded that the real effect of Campbell’s secretor testimony had been quite limited because she had explained to the jury that “the test results merely failed to exclude Apanovitch from the 40% of the population who, like the assailant, had type A blood.” Id. at 1376. On July 24, 1991, the Ohio Supreme Court summarily dismissed sua sponte Apanovitch’s appeal from the denial of his first post-conviction petition. State v. Apanovitch, 61 Ohio St.3d 1418, 574 N.E.2d 1089 (Ohio 1991). About three weeks later, on August 15, Ohio’s Supreme Court lifted its stay of execution. On November 1, 1991, while his mandamus action remained pending before Ohio’s Supreme Court, Apanovitch filed a petition for a writ of habeas corpus in the Northern District of Ohio. The federal court thereafter stayed Apanovitch’s execution. On April 15,1992, Apanovitch filed his first motion to expand the record under Rules 5 and 7 of the Rules Governing 42 U.S.C. § 2254 cases. Specifically, Apanovitch asked the district court to order the State of Ohio to release certain documents that he enumerated and described, none of which were implicated in his separate state mandamus action. The federal district court granted this motion on August 11, 1992, and ordered the state to release (a) certain photographs, (b) the hair found on the victim’s hand, (c) the police department homicide file, including a list of detectives, police officers and others who had been present at the crime scene, and (d) any documents indicating the names of people whose hair had been compared to the hair found on the victim’s hand. The government did not actually release those documents for several months. Meanwhile, the state filed a supplemental return of writ in the summer of 1992 in which it explained that swabs of bodily fluids found in the victim’s body, long thought destroyed inadvertently, had been found “in a desk of an employee of the coroner’s office who handled the Apanovitch case.” The state performed a DNA analysis of the material, and then asked the district court to authorize a comparison of the DNA material in the swabs with Apanovitch’s DNA. Apanovitch opposed this motion, arguing that the chain of custody was broken, and that the tests would likely be inaccurate. The district court did not explicitly rule on this motion, though the court noted that it was moot because it subsequently denied Apanovitch’s petition. While Apanovitch awaited the documents that the federal district court had ordered released to him, the Ohio Supreme Court affirmed, in a September 2, 1992 decision concerning several consolidated prisoner mandamus cases, the state Court of Appeals decision to issue a partial writ of mandamus directing the City of Cleveland tj release certain records to him. State ex rel. Williams v. Cleveland, 64 Ohio St.3d 544, 597 N.E.2d 147 (Ohio 1992). The records were not released immediately, and so Apanovitch filed a motion on September 16 in the state courts for the release of the records. Thereafter, on September 25, Apanovitch filed a second motion in federal district court to expand the record (“second motion”), challenging the Ohio Supreme Court’s refusal to release every document for which he had petitioned. On November 19,1992, the State of Ohio finally (and fully) complied with the federal district court’s August 11 order to release certain documents to Apanovitch (none of which were implicated in his separate mandamus action). Six weeks later, on December 30, the City of Cleveland fully complied with Ohio’s Supreme Court’s partial grant of a writ of mandamus, releasing to Apanovitch 51 documents in toto and 15 others that had been redacted. Among the documents released by the City of Cleveland, Apanovitch discovered evidence that, he claims, reveals that the State of Ohio committed several Brady violations during his trial. First, Apanovitch discovered among police handwritten investigative notes (author unknown), dated August 23, 1984, a notation that both Apanovitch and the victim were blood type A secretors, a fact that the prosecution did not reveal to the defense before trial. Second, he found a report, apparently prepared by one of the detectives, that summarized a telephone conversation between Apanovitch and the report’s author prior to Apanovitch’s indictment, wherein it was written that Apanovitch had asked the officer to let him know before arresting him “if I am indicted.” (emphasis added). Of course, this stands in sharp contrast to Detective Zalar’s trial testimony that Apanovitch had said “when I am indicted,” and this also gives the lie to the prosecution’s stipulation to the trial judge that no written evidence of this conversation had been contained in the investigation report. Apanovitch also discovered other materials among the investigation record that, he claims, reveals other Brady violations. In February 1993, Apanovitch filed a third motion with the district court to expand the record to include this newly-uncovered evidence (“third motion”), along with an amended petition. On July 28, 1993, without addressing Apanovitch’s second or third motions to expand the record, his proposed amended petition, or the State of Ohio’s motion to compare Apanovitch’s DNA to that found on the rediscovered swabs, the district court dismissed the petition. On August 10, Apanovitch filed a post-judgment motion asking the federal district court to alter its judgment, and the State of Ohio responded by filing its own motion to alter judgment. In its motion, the state again asked the district court to authorize a test that would compare Apanovitch’s DNA to that found on the swabs that had been rediscovered in a drawer in the coroner’s office. On December 28, 1993, the district court denied both motions. Apanovitch appealed on January 26, 1994, and the district court granted a certificate of probable cause for appeal on February 1. On March 11, 1994, Apanovitch filed a motion asking us to hold his appeal in abeyance pending further state court actions. We granted that motion on May 9,1994. Returning to the state courts, Apanovitch filed a successor petition to vacate or set aside judgment (the “second postconviction petition”) on March 11, 1994, relying on the new evidence he had gathered as a result of the documents he received in 1992, and he subsequently filed three amendments to this petition. The state filed a motion to dismiss this second post-conviction petition in December 1994, and the Court of Common Pleas granted the state’s motion on March 13, 1995, holding that the federal district court’s denial of the habeas petition had binding res judicata effect. Apanovitch appealed. Meanwhile, Apanovitch filed a Freedom of Information Act (“FOIA”) petition, seeking to obtain the results of the Federal Bureau of Investigation’s (“FBI”) fingerprint analysis. On July 7,1995, Apanovitch received certain documents from the FBI pursuant to this request, and so the District Court for the District of Columbia dismissed Apanovitch’s FOIA action as moot on July 25, 1995. These documents confirmed that investigators had not found any of Apanovitch’s fingerprints at the crime scene. On November 30, 1995, the state Court of Appeals denied Apanovitch’s appeal from the denial of his second postconviction petition because Apanovitch had failed to raise the claims in state courts first, and because the federal court’s ruling had res judicata effect. State v. Apanovitch, 107 Ohio App.3d 82, 667 N.E.2d 1041 (Ohio Ct.App.1995). Apanovitch appealed. On May 8, 1996, the Ohio Supreme Court declined to take jurisdiction. State v. Apanovitch, 75 Ohio St.3d 1474, 663 N.E.2d 1302 (Ohio 1996). While his appeal from the Court of Common Pleas’s denial of his second postconviction petition remained pending in Ohio’s Supreme Court, Apanovitch filed another successor petition for postconviction relief (“third postconviction petition”) with the Court of Common Pleas. This motion was based on the results of the FBI’s latent fingerprint analysis. On November 27, 1995, the Court of Common Pleas dismissed the third postconviction petition, holding that the withheld evidence was not exculpatory. Apanovitch appealed. The state Court of Appeals then affirmed the trial court’s denial of Apanovitch’s third postconviction petition on August 19, 1996. State v. Apanovitch, 113 Ohio App.3d 591, 681 N.E.2d 961 (Ohio Ct.App.1996). He appealed, but the Ohio Supreme Court declined to take jurisdiction on December 20, 1996. State v. Apanovitch, 77 Ohio St.3d 1488, 673 N.E.2d 146 (Ohio 1996). His state court proceedings having been exhausted, our order of abeyance was lifted. On December 23, 1996, Apanovitch filed a motion to remand the proceedings to the district court in order to conduct an evidentiary hearing. Regrettably, and unaccountably, we took no action on that motion for nearly eight years. Finally, after Apanovitch himself prompted us to act by filing a motion to expedite in 2002, we denied his motion to remand on October 19, 2004. Apanovitch then filed a motion to expand the record on April 14, 2005, and we granted that motion in part on June 15, 2005, expanding the record to include missing pages from the trial transcript and all pleadings and exhibits that were part of the federal district court record, but denying the motion with respect to records from Apanovitch’s second and third state post-conviction proceedings. As such, we shall limit our review to documents that were placed before the district court, including documents attached to Apanovitch’s unsuccessful motions to the district court to expand the record. Briefing on the merits of the instant appeal followed. II We apply the pre-AEDPA standard of review because Apanovitch filed his habeas corpus petition before the enactment of the Antiterrorism and Effective Death Penalty Act of 1996. Harries v. Bell, 417 F.3d 631, 634-35 (6th Cir.2005); Lindh v. Murphy, 521 U.S. 320, 326, 117 S.Ct. 2059, 138 L.Ed.2d 481 (1997). That standard entitles Apanovitch to have the federal habeas court “make its own independent determination of his federal claim, without being bound by the determination on the merits of that claim reached in the state proceedings.” Buell v. Mitchell, 274 F.3d 337, 344 (6th Cir.2001) (quoting Wainwright v. Sykes, 433 U.S. 72, 87, 97 S.Ct. 2497, 53 L.Ed.2d 594 (1977)). A district court may grant the writ if the state conviction violated the Constitution, laws, or treaties of the United States. Estelle v. McGuire, 502 U.S. 62, 68, 112 S.Ct. 475, 116 L.Ed.2d 385 (1991). Under these circumstances, we review the district court’s dispositions of habeas petitions de novo, and its findings of fact for clear error. Rickman v. Bell, 131 F.3d 1150, 1153 (6th Cir.1997). We must defer to the state courts’ findings with respect to primary or historical facts, which are rebuttable only by clear and convincing evidence, while we review state court determinations of federal law or mixed questions of federal law and fact de novo. Coleman v. Mitchell, 244 F.3d 533, 538 (6th Cir.2001). We generally may not review claims that were not substantively decided by state courts because only claims adjudicated on the merits in state court proceedings are cognizable on habeas review: When a habeas petitioner fails to obtain consideration of a claim by a state court, either due to the petitioner’s failure to raise that claim before the state courts while state-court remedies are still available or due to a state procedural rule that prevents the state courts from reaching the merits of the petitioner’s claim, that claim is procedurally defaulted and may not be considered by the federal court on habeas review. Seymour v. Walker, 224 F.3d 542, 549-50 (6th Cir.2000) (citations omitted), cert. denied, 532 U.S. 989, 121 S.Ct. 1643, 149 L.Ed.2d 502 (2001). See Rose v. Lundy, 455 U.S. 509, 518-19, 102 S.Ct. 1198, 71 L.Ed.2d 379 (1982); Lancaster v. Adams, 324 F.3d 423, 436-37 (6th Cir.2003). We apply a four-factor test to determine if a claim has been procedurally defaulted: First, the court must determine whether there is such a procedural rule that is applicable to the claim at issue and whether the petitioner did, in fact, fail to follow it. Second, the court must decide whether the state courts actually enforced [their] procedural sanction. Third, the court must decide whether the state’s procedural forfeiture is an adequate and independent ground on which the state can rely to foreclose review of a federal constitutional claim. This question will usually involve an examination of the legitimate state interests behind the procedural rule in light of the federal interest in considering federal claims. And, fourth, the petitioner must demonstrate, ... that there was “cause” for him to neglect the procedural rule and that he was actually prejudiced by the alleged constitutional error. Greer v. Mitchell, 264 F.3d 663, 672-73 (6th Cir.2001) (internal citations and quotation marks omitted), cert. denied, 535 U.S. 940, 122 S.Ct. 1323, 152 L.Ed.2d 231 (2002). See Maupin v. Smith, 785 F.2d 135, 138 (6th Cir.1986) (establishing standard for determining whether an issue has been procedurally defaulted). If an issue has been procedurally defaulted, we may still review it under certain circumstances. “A petitioner may avoid ... procedural default only by showing that there was cause for the default and prejudice resulting from the default, or that a miscarriage of justice will result from enforcing the procedural default in the petitioner’s case.” Seymour, 224 F.3d at 550 (citing Wainwright v. Sykes, 433 U.S. at 87, 90-91, 97 S.Ct. 2497). Withholding of documents in violation of Brady v. Maryland, wherein the Supreme Court ruled that “the suppression by the prosecution of evidence favorable to an accused upon request violates due process where the evidence is material either to guilt or to punishment, irrespective of the good faith or bad faith of the prosecution,” 373 U.S. at 87, 83 S.Ct. 1194, implicitly constitutes a per se excuse (“cause” and “prejudice”) for procedural default in habeas review, as the Court has recently stated: Brady, we reiterate, held that “the suppression by the prosecution of evidence favorable to an accused upon request violates due process where the evidence is material either to guilt or to punishment, irrespective of the good faith or bad faith of the prosecution.” We set out in Strickler v. Greene [527 U.S. 263, 119 S.Ct. 1936, 144 L.Ed.2d 286 (1999) ] the three components or essential elements of a Brady prosecutorial misconduct claim: “The evidence at issue must be favorable to the accused, either because it is exculpatory, or because it is impeaching; that evidence must have been suppressed by the State, either willfully or inadvertently; and prejudice must have ensued.” “[Clause and prejudice” in this case “parallel two of the three components of the alleged Brady violation itself.” Corresponding to the second Brady component (evidence suppressed by the State), a petitioner shows “cause” when the reason for his failure to develop facts in state-court proceedings was the State’s suppression of the relevant evidence; coincident with the third Brady component (prejudice), prejudice within the compass of the “cause and prejudice” requirement exists when the suppressed evidence is “material” for Brady purposes. Banks v. Dretke, 540 U.S. 668, 691, 124 S.Ct. 1256, 157 L.Ed.2d 1166 (2004) (citations omitted). Therefore, to the extent that Apanovitch successfully demonstrates that the state committed Brady violations with respect to specific issues, we may exercise jurisdiction. To reiterate, to assert a cognizable Brady claim, a habeas petitioner must show that (1) evidence favorable to the petitioner, whether exculpatory or for impeachment purposes (2) was suppressed by the government, and (3) the petitioner suffered prejudice as a result. Strickler v. Greene, 527 U.S. 263, 281-82, 119 S.Ct. 1936, 144 L.Ed.2d 286 (1999). While the Brady rule encompasses both exculpatory and impeachment evidence, United States v. Bagley, 473 U.S. 667, 676, 105 S.Ct. 3375, 87 L.Ed.2d 481 (1985), it only applies to evidence that was known to the prosecution, but unknown to the defense, at the time of trial, and the duty to disclose applies even if the defense made no request. United States v. Agurs, 427 U.S. 97, 103, 107, 96 S.Ct. 2392, 49 L.Ed.2d 342 (1976). The Brady disclosure requirement extends to evidence that is known only by the police, but withheld from the prosecution. Kyles v. Whitley, 514 U.S. 419, 438, 115 S.Ct. 1555, 131 L.Ed.2d 490 (1995). When analyzing a petitioner’s contention that he suffered prejudice, we assume that the petitioner has stated a claim of constitutional magnitude, and proceed to discern whether the petitioner was actually prejudiced by the asserted errors. United States v. Frady, 456 U.S. 152, 170-72, 102 S.Ct. 1584, 71 L.Ed.2d 816 (1982); Moore v. Carlton, 74 F.3d 689, 691-92 (6th Cir.1996). The prejudice must have worked to the petitioner’s actual and substantial disadvantage, thereby infecting his entire trial with an error of constitutional dimension. Frady, 456 U.S. at 170, 102 S.Ct. 1584, 71 L.Ed.2d 816. The failure to disclose such evidence is “material,” and therefore “prejudicial,” only “if there is a reasonable probability that, had the evidence been disclosed to the defense, the result of the proceeding would have been different.” Strickler, 527 U.S. at 280, 282, 119 S.Ct. 1936 (quoting Bagley, 473 U.S. at 682, 105 S.Ct. 3375); accord Spirko v. Mitchell, 368 F.3d 603, 609 (6th Cir.2004), cert, denied sub nom. Spirko v. Bradshaw, 544 U.S. 948, 125 S.Ct. 1699, 161 L.Ed.2d 525 (2005); Armstrong v. Morgan, 372 F.3d 778, 781 (6th Cir.), cert. denied, 543 U.S. 982, 125 S.Ct. 488, 160 L.Ed.2d 362 (2004); Zuern v. Tate, 336 F.3d 478, 484 (6th Cir.2003), cert. denied, 540 U.S. 1198, 124 S.Ct. 1456, 158 L.Ed.2d 113 (2004); United States v. Brown, 332 F.3d 363, 369 (6th Cir.2003). A “reasonable probability” of a different outcome exists where the government’s suppression of evidence undermines confidence in the outcome of the trial. Kyles, 514 U.S. at 434, 115 S.Ct. 1555 (citing Bagley, 473 U.S. at 682, 105 S.Ct. 3375); Mason v. Mitchell, 320 F.3d 604, 628 (6th Cir.2003). The petitioner must convince us that “there is a reasonable probability” that the result of the trial would have been different if the suppressed documents had been disclosed to the defense. As we stressed in Kyles, “The adjective is important: The question is not whether the defendant would more likely than not have received a different verdict with the evidence, but whether in its absence he received a fair trial, understood as a trial resulting in a verdict worthy of confidence.” Strickler, 527 U.S. at 289-90, 119 S.Ct. 1936 (quoting Kyles, 514 U.S. at 434, 115 S.Ct. 1555) (emphasis added); accord United States v. Crayton, 357 F.3d 560, 569 (6th Cir.2004), cert. denied, 542 U.S. 910, 124 S.Ct. 2857, 159 L.Ed.2d 279 (2004). Put another way, the Brady standard’s prejudice is different from a more conventional prejudice analysis: the materiality inquiry is not just a matter of determining whether, after discounting the inculpatory evidence in light of the undisclosed evidence, the remaining evidence is sufficient to support the jury’s conclusions. Rather, the question is whether “the favorable evidence could reasonably be taken to put the whole case in such a different light as to undermine confidence in the verdict.” Strickler, 527 U.S. at 290, 119 S.Ct. 1936 (quoting in part Kyles, 514 U.S. at 434-35, 115 S.Ct. 1555) (citations omitted). A Brady claim thus does not require showing that the introduction of the exculpatory evidence would have rendered the overall evidence insufficient to convict. Kyles, 514 U.S. at 434-35, 115 S.Ct. 1555; United States v. Frost, 125 F.3d 346, 383 (6th Cir.1997). Further, the withheld items of evidence must be considered collectively, not individually, to determine materiality. Castleberry v. Brigano, 349 F.3d 286, 291 (6th Cir.2003). Finally, we generally will not consider claims that the petitioner failed to raise first in the district court. As we have stated, [o]ur function is to review the case presented to the district court, rather than a better case fashioned after a district court’s unfavorable order. For that reason, it is well settled law that this court will not consider an error or issue which could have been raised below but was not. Barner v. Pilkington N. Am., Inc., 399 F.3d 745, 749 (6th Cir.2005) (internal citations and quotation marks omitted). Moreover, “we will reverse a district court’s decision to admit or exclude evidence only if we find that the district court has abused its discretion.” Id. at 748 (citing Beck v. Haik, 377 F.3d 624, 636 (6th Cir.2004)). “An abuse of discretion occurs when the district court “relies on clearly erroneous findings of fact, ... improperly applies the law, ... or ... employs an erroneous legal standard.” Ibid, (citations and internal quotation marks omitted).” Apanovitch originally requested, and the state continues to request, that we remand various matters to the district court for an evidentiary hearing. As a pre-AEDPA case, there is greater scope for granting evidentiary hearings than under today’s law. “Generally, a habeas petitioner is entitled to an evidentiary hearing in federal court if the petition ‘alleges sufficient grounds for release, relevant facts are in dispute, and the state courts did not hold a full and fair evidentiary hearing.’ ” Stanford v. Parker, 266 F.3d 442, 459 (6th Cir.2001), cert. denied, 537 U.S. 831, 123 S.Ct. 136, 154 L.Ed.2d 47 (2002) (quoting in part Wilson v. Kemna, 12 F.3d 145, 146 (8th Cir.1994)). However, “bald assertions and conclusory allegations do not provide sufficient ground to warrant requiring the state to respond to discovery or to require an evidentiary hearing.” Id. at 460 (quoting Zettlemoyer v. Fulcomer, 923 F.2d 284, 301 (3d Cir.1991)). See Bowling v. Parker, 344 F.3d 487, 512 (6th Cir.2003); cf. Sawyer v. Hofbauer, 299 F.3d 605 (6th Cir.2002). We note that these “conditionfs may be] more properly addressed by the district court in the first instance.” DiCenzi v. Rose, 452 F.3d 465, 472 (6th Cir. 2006). See also Giles v. Schotten, 449 F.3d 698, 700 (6th Cir.2006). Of course, even a preAEDPA habeas petitioner who is not entitled to an evidentiary hearing may nevertheless receive one at the court’s discretion. Harries v. Bell, 417 F.3d 631, 635 (6th Cir.2005) (“a district court does have the inherent authority to order an evidentiary hearing even if the factors requiring an evidentiary hearing are absent.”) (quoting Abdur’Rahman v. Bell, 226 F.3d 696, 705 (6th Cir.2000), cert. denied, 534 U.S. 970, 122 S.Ct. 386, 151 L.Ed.2d 294 (2001)). Ill In this appeal, Apanovitch raises four fundamental issues: (A) whether the state committed any of seven claimed Brady violations by failing to disclose documents with respect to (1) a police report on statements made by Apanovitch, (2) coroner notes concerning an unidentified hair on the victim’s body, (3) documents reflecting that the police knew that the victim was a blood type A secretor, (4) documents reflecting that other people may have enjoyed access to the victim’s home, (5) evidence that could have been used to impeach the prosecution’s witnesses, (6) evidence that the police had investigated other possible suspects in the murder, and (7) documents that may have impeached the coroner’s report with respect to the time of Flynn’s death; (B) whether the trial court improperly admitted Howard Hammon’s testimony; (C) whether the trial court improperly admitted inflammatory and prejudicial hearsay respecting the victim’s state of mind; and (D) whether sufficient evidence exists to support the conviction. We shall address each of these issues seriatim. A 1 The first claimed Brady violation arises from the evident conflict involving the trial testimony of Detective Anthony Zalar, and a document in which Apanovitch is said to have made a different statement. At trial, Detective Zalar testified that Apanovitch had called him before he was indicted, and he had “asked me when he’s indicated [sic] would I please contact him first rather than just go arrest him. I guess his mother has a heart problem so that he could inform his mother first so she would know before he’s arrested.” Defense counsel objected because the prosecution had not previously disclosed this statement. The prosecution informed the court that this had been an oral statement and that, as such, there was no written record of the conversation that could have been disclosed. The court, having been duped, overruled the objection, stating: Well, obviously if it wasn’t in the police report and this is the first knowledge you had of them in talking to the officer, you couldn’t have given them the discovery, but I think it’s lack of something on the part of the police department that these things that you feel are important enough to bring into evidence, if you feel they are important to testify about, then they ... should have been important enough to put into the police report. On cross-examination, Detective Zalar stated that he had been “stunned” when Apanovitch said “when I am indicted,” but he did not recall writing that statement in his report. Defense counsel then asked to see the detective’s written report, and so the court instructed Zalar to review his report for a record of the exchange. However, the prosecution stipulated that the statement was not in the report, and the court imprudently decided that the prosecuting attorney’s stipulation was credible and sufficient. Apanovitch first raised this issue in his direct appeal to the state courts, wherein he argued that the court had erred in allowing testimony respecting his oral statements when those statements were not provided to defense counsel beforehand. The state court of appeals denied this claim, holding that, in the first place, the prosecutors did not violate their duties of disclosure because “they just learned of these statements on the morning Zalar was to testify.... Taken as true, the trial court certainly could have concluded that Crim R. 16 was not in fact violated.” Second, the state court held that the trial court did not abuse its discretion in permitting that testimony. Later, in his habeas petition, Apanovitch again raised the claim that the admission of Zalar’s testimony constituted a denial of due process, confrontation, and equal protection. The federal district court addressed this as a purely evidentiary question, and, because federal courts cannot question state court rulings on evidence unless they “result in a denial of fundamental fairness,” the district court denied this claim in its entirety. Walker v. Engle, 703 F.2d 959, 962 (6th Cir.1983), cert. denied, 464 U.S. 951, 104 S.Ct. 367, 78 L.Ed.2d 327 (1983). However, prior to the district court’s denial of the habeas petition, Apanovitch received, apparently as part of the December 30, 1992 set of documents released by the city of Cleveland pursuant to the writ of mandamus, a set of typed police investigative reports prepared by Detectives Bornfield and Zalar. These notes included, inter alia, a memorialization by one of the police investigators (presumably Zalar, but it is not absolutely clear to us which detective filed the item) of the telephone conversation in question. The relevant portion of the report stated: While typing this report, received a phone call from Anthony Apanovitch. He again stated that he was not responsible for this crime. He did request that if he was arrested or indicted in connection with this crime, that he be contacted first, so that he can break the news to his mother. (emphasis added). This newly-discovered evidence directly contradicts the prosecution’s stipulation to the state trial court that Detective Zalar’s recollection of Apanovitch’s oral statement had never been written down (justifying its non-disclosure), and it strongly impeaches Detective Zalar’s testimony that Apanovitch had used the word “when,” and, moreover, that he had been “stunned” when Apanovitch had used that word. Apanovitch raised this issue in his third motion to expand the record, claiming that the state’s failure to disclose this document constituted a Brady violation that resulted in a denial of due process. The district court did not grant Apanovitch’s third motion to expand the record, and so it did not review this new evidence in rendering its decision. Apanovitch maintains this claim on appeal. First we must address the issue of waiver, for Apanovitch did not raise this claim in his original § 2254 petition, nor did he raise it explicitly in his amended petition. However, he raised it in the memorandum in support of his third motion to expand the record, wherein he addressed the facts underlying this claim and argued that the state violated Brady in not providing evidence of this statement to his counsel. Although Apanovitch did not raise this precise claim in his original or amended federal habeas petitions, he did raise a complaint regarding the prosecution’s failure to disclose the “if/when” oral statements prior to trial, a complaint that he had raised in his direct state appeal as well. Since he raised the essential issue at an early stage of the litigation, and as he discussed the substance of the instant claim in his brief, Apanovitch’s failure to raise this precise issue in the lower courts is excusable, and so the issue has not been waived. Barner v. Pilkington N. Am., 399 F.3d at 749. Moreover, this precise issue lies in an unusual posture, having been first raised in federal court. Therefore, there is a question of procedural default, for the claim had clearly not been exhausted at the state level before it was raised in federal court. The district court could have dismissed the issue as unexhausted, thereby providing the state courts with the first opportunity to address the claim pursuant to Rose v. Lundy, 455 U.S. at 518-20, 102 S.Ct. 1198, but the district court instead denied on the merits Apanovitch’s petition and his third motion to expand the record. Subsequently, Apanovitch raised this instant Brady issue with the state courts in his second postconviction petition. The state courts then ruled that this new evidence was not material, and that res judicata also barred them from acting. Apanovitch therefore procedurally defaulted this issue. As the Brady analysis is identical for our purposes with the procedural default excuse analysis, we must ascertain whether the prosecution’s withholding of this evidence constituted a Brady violation. It is clear to us that (1) the evidence was favorable to Apanovitch because it was clearly impeaching, and (2) the state suppressed the evidence. But it is not immediately apparent to us whether the withheld evidence materially prejudiced Apanovitch. Strickler v. Greene, 527 U.S. at 281-82, 119 S.Ct. 1936. Therefore we hold that the district court abused its discretion in refusing to grant Apanovitch’s third motion to expand the record with respect to this element. Barner v. Pilkington N. Am., 399 F.3d at 748. Since Apanovitch “alleges sufficient grounds for release, [the] relevant facts are in dispute, and the [lower] courts did not hold a full and fair evidentiary hearing,” Stanford v. Parker, 266 F.3d at 459 (citation and internal quotation marks omitted), we remand this issue to the federal district court for reconsideration, and, if necessary, that court may conduct an evidentiary hearing. 2 The second Brady claim concerns the precise location of the lone unidentified hair found on the victim’s body. At trial, Barbara Campbell testified that an unidentified hair was discovered on the corpse “on the back portion of the hand.” She also testified that the hair did not belong either to the victim or to Apanovitch. During the mitigation phase, Campbell testified that she had removed this hair from the palm or surface of the victim’s right hand. Campbell’s testimony on this point seems to have been inconsistent with documents that Apanovitch received in December 1992, wherein it is reported that the hair was found on the back of the victim’s hand “under her bound hands.” Moreover, the police department apparently noted on August 28, 1984, also in documents that Apanovitch received in December 1992, that a “black hair was found by Barbra [sic] Campbell, behind the victims [sic] tied hands.” Apanovitch now argues that, because the hair was under the victim’s bound hands, between her bound hands and her back (and therefore perhaps unlikely to have fallen there after her death), the hair could have belonged to the actual killer. He further argues that this possibility would have made a difference at trial because either (a) the jury could have suspected that the hair belonged to the real killer, $r (b) it could have impeached the prosecution’s attempt to minimize the hair’s importance. Apanovitch first raised this argument in his amended § 2254 petition, and it was substantiated by the documents he had received in late 1992 from the state pursuant to his collateral mandamus action. Therefore this claim presents many of the same procedural default issues as the first claim; as with the previous issue, we find that he has procedurally defaulted. For Brady analysis, this document may have been favorable to the accused, because it could have impeached the prosecution’s attempt to downplay the hair, and it also could have introduced some measure of doubt as to the killer’s identity. It is beyond question that the state suppressed this evidence. More difficult is the question of prejudice. To be sure, Campbell’s guilt-phase testimony (that the hair was found “on the back portion of the hand”) could possibly be interpreted as consistent with one part of the investigative report (that the hair was found “behind the victims [sic] tied hands”), but her testimony is distinct from that which is found in her notes (that the hair was found “under her bound hands”). Obviously this evidence must be sorted and tested, and it is not our proper role to do so. Barner v. Pilkington N. Am., 399 F.3d at 749. Therefore, we hold that the district court abused its discretion in refusing to grant Apanovitch’s third motion to expand the record with respect to this element. Id. at 748. We remand this issue for the district court to reconsider and, if necessary, to conduct an evidentiary hearing. 3 The third claimed Brady error involves the serological evidence. Although the government generally informed the jury that there was no physical evidence directly tying Apanovitch to the crime scene, nevertheless the prosecutors insinuated that he was linked to the crime because Barbara Campbell had found evidence that