OPINION
Appellant Robert Wayne Johnson was convicted by a jury of one count of sexual assault, a class two felony, for which the trial court imposed an aggravated term of fourteen years’ imprisonment. Johnson raises a number of issues on appeal, the most significant being whether the trial court erred in admitting expert testimony about the probability of a random match between Johnson’s deoxyribonucleic acid (DNA) and DNA extracted from semen stains on the victim’s clothing following the assault. Johnson also challenges the peremptory strike of a juror, the admission of hearsay testimony of the victim’s statements, the trial court’s recalling of a prosecution witness, a limitation on defense argument during summation; and the court’s allegedly bolstering the credibility of a witness. Johnson lastly contests the court’s consideration of an unrelated arrest as an aggravating factor at his sentencing. For the reasons discussed below, we affirm.
Factual Background .
We relate the facts in the light most favorable to upholding the jury’s verdict.
State v. Atwood,
The attacker then threatened to kill M.K. if she told anyone and ran out the back door. M.K. pulled up her pants and ran to the front of the restaurant. She saw a small red car drive off, but was unable to see the driver. Using paper towels, M.K., who was menstruating at the time, cleaned herself and wiped up blood that was on the floor. Her boyfriend arrived shortly thereafter and called the police. Sierra Vista police officers responded, interviewed M.K. and took her to the hospital to be examined. At the emergency room, the officers obtained M.K’s clothing and a police investigator interviewed her again. They later returned to the restaurant and retrieved the paper towels from the trash.
A woman who worked at a check-cashing service frequented by Johnson and located next door to M.K.’s restaurant was friends with Johnson and knew him well. At approximately 7:30 on the morning of the rape, Johnson had visited the woman at her apartment and stayed for about one-half hour. He was wearing a gray T-shirt with the word “Army” across the front. She did not see a vehicle but Johnson had previously given her rides in a red compact car. Later that day, the woman heard a radio broadcast describing a black man who had “assaulted a local business woman.” Realizing that the description matched that of Johnson, she called the police. Another witness advised police that around 8:05 that morning, as she drove to work in an area near M.K.’s restaurant, she was followed by a black man wearing a gray shirt that said “Army” who was driving a small red car. The following day, M.K. identified Johnson in a photographic line-up.
The paper towels and M.K.’s shirt were examined and found to contain human blood and semen. Testing performed by Terry Hogan, a criminalist at the Arizona Department of Public Safety (DPS) crime laboratory, showed that DNA extracted from these stains “matched” Johnson’s DNA at five different chromosome locations or “alleles.” 1 Hogan calculated the possibility of a random match—two unrelated individuals having the same DNA pattern across five alleles—to be one in 312 million. At trial, Johnson testified he had never owned a gray Army T-shirt and was home at the time of the rape. He also introduced corroborating testimony from members of his wife’s family.
Admission of Random Match Evidence
Generally, the decision whether to admit expert testimony is addressed to the sound discretion of the trial court.
State v. Neal
a. Background
Although, except for identical twins, the overall genetic code of each individual is unique, over 99% of the DNA sequence in any two people is identical. Consequently, because present technology permits only the testing of very limited DNA segments rather than the entire sequence, confirmation of a DNA match is in and of itself meaningless without a scientifically valid estimate (or, at least, an upper bound) of the frequency with which such matches might occur by chance.
See Bible,
Several methods are available to scientists to make the calculation, including the “counting method,” the “product” or “multiplication rule,” and two newer formulas which have been recommended by the National Academy of Sciences’ National Research Counsel (NRC), 2 called the “ceiling method” and the “modified ceiling method.” National Research Council, Committee on DNA Technology in Forensic Science, DNA Technology in Forensic Science (1992) (hereafter NRC Report). 3 The latter two methods are best understood when compared to the product rule that was examined in Bible.
Under the product rule, each DNA matching band (allele) is presumed to provide statistically independent evidence, and the frequencies of the individual alleles are multiplied together to obtain a frequency of the complete DNA pattern. The process is described in Bible as follows:
Suppose, for example, that a pair of DNA [samples] match on two bands, and that one band reflects an allele found in ten percent of the population and the other an allele found in fifty percent of the population. Applying the product rule, an analyst would conclude that the probability of a coincidental match on both alleles is 0.10 x 0.50 = 0.05, or a five percent probability-
The product rule was generally unchallenged until 1991 when some members of the scientific community began questioning the calculations derived from this formula.
See Bible,
If a population survey of Europe showed that 1 of 10 people had blond hair, 1 of 10 had blue eyes, and 1 of 10 had fair skin, one would be wrong to multiply these frequencies to conclude that the frequency of people with all three traits was 1 in 1,000. Those traits tend to co-occur in Nordics, so the actual frequency of the combined description is probably higher than 1 in 1,000.
State v. Bloom,
In 1992, following a two-year study, the NRC proposed a more conservative calculation method, which has become known as the “ceiling principle” or “ceiling method.” It involves two steps:
(1) For each allele at each locus, determine a ceiling frequency that is an upper bound for the allele frequency that is independent of the ethnic background of a subject; and
(2) To calculate a genotype frequency, apply the multiplication rule, using the ceiling frequency for the allele frequencies.
NRC Report § 3.2.6, at 3-10 to 3-11. The ceiling frequency is determined by analyzing a database of 100 random samples from each of fifteen to twenty ethnic populations and calculating the allelic frequencies at a particular chromosome locus for each population sampled.
Id.
at 3-11. “In other words, for a particular allele exhibited at a particular locus, the testing laboratory would calculate the percentage of individuals within each ethnic population exhibiting the same, or a statistically similar, allele at the same locus.”
State v. Vandebogart,
Recognizing that most laboratories would not have a large enough blood sample base to implement the ceiling method, the NRC committee also advanced an even more conservative “modified ceiling method,” to be utilized while reference blood samples are being collected and archived. NRC Report § 3.7.2, at 3-20 to 3-23. This method uses an artificially high ceiling frequency of ten percent or larger (rather than five percent) and requires analysis of data on at least three of the major races (e.g., Caucasians, Blacks, Hispanics, Asians, or Native Americans). Hogan utilized the modified method in this case and a database consisting of two hundred samples from each of four ethnic groups: Caucasians, Hispanics, Blacks, and Apache Indians.
b. Applicability of Bible
In order to determine whether the probability evidence at issue here is precluded by
Bible,
we must first review the pertinent facts and reasoning of that case. After demonstrating that DNA in the blood on the defendant’s shirt-and the victim’s DNA were a “match,” a Cellmark
5
DNA expert, using
*629
the product rule, calculated the random match probabilities to be between one in sixty million and one in fourteen billion.
Clearly, the ruling in
Bible
was bound to the Cellmark method
of
product rule probability calculation and the Cellmark database involved. The subsequent decision of
State v. Clark,
If, under
Bible,
neither random match statistical probabilities nor qualitative testimony about the significance of a DNA match may be admitted at trial,
7
then it would appear that DNA evidence is of limited evidentiary value in Arizona criminal cases and, as Johnson urges, can only show that suspect DNA
could
be that of a defendant.
See
We take a cautious, conservative approach. Not knowing what records in other cases wiU show, what issues those cases wiH raise, or what new technology wiH bring, we neither write in stone nor go farther than we must____ We hold only that statistical probabflity evidence based on CeUmark’s database is not based on generally accepted scientific theory and is not admissible.
*630 c. General Acceptance of the Ceiling Method
Following a two-day hearing, the trial court found that the DNA evidence and the state’s expert testimony met the Frye standard of general scientific acceptance. Hogan testified that, in calculating the chance of a random match with Johnson’s DNA, he used the modified version of the ceiling method recommended by the NRC, that the NRC is a group of scientists who are members of the National Academy of Sciences, and that its reports “carry weight and [are] respected within the scientific and technical community.” He also testified that, as part of “keeping abreast” of developments, he had read NRC reports and opinions discussing DNA forensic analyses. Hogan’s testimony is consistent with the observations of courts that
the [NRC] itself is a distinguished cross section of the scientific community---Thus, that committee’s conclusion regarding the reliability of forensic DNA typing, specifically RFLP analysis, and the proffer of a conservative method for calculating probability estimates can easily be equated with general acceptance of those methodologies in the relevant scientific community.
United States v. Porter,
The NRC recommendations were formulated in response to the criticisms of the product rule,
see State v. Anderson,
Also unlike the situation our supreme court faced in
Bible,
there is no evidence in the record of any serious disagreement in the scientific community on the use of the ceiling method. Although Hogan testified that there is scientific debate on the existence of population substructures, subsequent cases and published articles in the field indicate that most of the remaining debate stems from criticisms that the ceiling method is
too
conservative, that evidence of population substructure is lacking, and that further study is needed to determine the best means of presenting probability statistics to juries, not the ceiling method’s validity as a reliable and highly conservative forensic tool.
8
See Commonwealth v. Lanigan,
If the [general acceptance] requirements were met only if there were no debate on a subject, even Copernicus’s theory of a sun-centered solar system could not be mentioned in a court of law. The flat earth society would carry the day. Indeed, no scientific advance has yet been developed that cannot be questioned or debated. For this reason, evidentiary rules do not require absolute certainty or unanimity.
After remanding a DNA-based conviction for a
Frye
hearing on the ceiling principle, the New Hampshire Supreme Court held that the NRC modified ceiling method “has gained general acceptance in the relevant scientific community.”
Vandebogart II,
Recent scientific literature and scholarly comment appear to bear this out. Of particular significance is an article in a prominent scientific journal coauthored by two noted geneticists introduced as “principals in the once-raging debate over forensic DNA typing,” who together declare that “[t]he DNA fingerprinting wars are over,” and who describe the ceiling method as providing a “solomonic solution” to the controversy over population genetics. Lander & Budowle,
DNA Fingerprinting Dispute Laid to Rest, supra,
at 736-37.
See also
Kaye,
Ceiling Frequencies and the Need for Numbers, supra.
Even geneticists Richard Lewontin and Daniel Hartl, two of the leading challengers of DNA probability calculations,
see Bible,
*632
Most importantly, there is agreement among experts and courts that the ceiling method “resolves all uncertainties in favor of the defendant.”
Vandebogart II,
The ceiling principle yields the same frequency for a genotype, regardless of the suspect’s ethnic background, because the reported [ceiling] frequency represents a maximum for any possible ethnic heritage. Accordingly, the ethnic background of an individual suspect should be ignored in estimating the likelihood of a random match. The calculation is fair to suspects, because the estimated probabilities are likely to be conservative in their incriminating power.
NRC Report § 3.2.6, at 3-13. See also Eric S. Lander, DNA Fingerprinting: The NRC Report, 260 Science 1221, 1221 (May 28, 1993) (“[T]he NRC committee sought to define common ground, namely, a standard of practice so conservative as to ensure that there would be no serious scientific argument that the evidence could be said to overstate the case against a defendant.”).
It is notable that all reported decisions we are aware of addressing the NRC recommendations have found them either sufficiently accepted among the scientific community or sufficiently reliable under alternative evidentiary standards to permit the admission of probability testimony based on their use. 10 Several other courts have commented on the likelihood that the ceiling method would resolve the admissibility problems associated with DNA probability calculations. 11
Based on the record before us and in light of the guidance of Bible and other courts which have since addressed this issue, as well as current scientific and scholarly literature, we cannot say the trial court erred in finding the probability testimony here, derived from the NRC modified ceiling method, to be sufficiently accepted in the scientific community for purposes of Frye.
d. DPS Methodology and Database
Johnson alternatively contends that, even if the ceiling principle has gained general acceptance, the method DPS used was flawed because Hogan failed to comply with the accepted procedure and because DPS lacked a sufficiently random database for accurate probability calculations. We find little support in the record for either claim. As for the DPS database, there is no evidence refuting its sufficiency, nor can we find that it bears any resemblance to Cellmark’s “1988 Caucasian database” which the court in
Bible
found “of disputed statistical validity,” and which had already been discarded by Cellmark at the time of Bible’s trial.
Johnson also urges that Hogan’s methodology was deficient in that it did not account for racial population substructures and because Hogan failed to search the DPS database for a match as the NCR recommends. As discussed above, the entire *633 thrust of the ceiling method is the recognition of and accounting for the possibility of ethnic substructure. Hogan testified that he analyzed the DNA samples in accordance ■with all requirements of the modified ceiling method, and he outlined in detail various DPS procedures for ensuring the accuracy and quality of test results, noting that the laboratory had undergone several proficiency tests and that its laboratory error rate was currently zero. Hogan explained that he did not attempt to compare Johnson’s DNA to all database samples due to an agreement between the commercial sample supplier and the individual donors. A review of the NRC report reflects that database sample comparison is part of the NRC’s suggested procedure for indicating the rarity of the subject DNA pattern, NRC Report § 3.7.2, but it clearly is not an element of the ceiling method.
We therefore conclude that the trial court did not abuse its discretion in admitting the random match probability testimony. In light of this conclusion, we do not reach the state’s argument that any error in admitting it would have been harmless considering the other evidence of Johnson’s guilt.
Peremptory Strike of a Minority Juror
The state used a peremptory challenge to strike a prospective juror and Johnson objected, claiming that the juror was “part Black” or the only juror on the panel “who could be Black,” and requested that the state be required to explain the basis for its strike. The court denied the request on the ground that it did not “see a proper basis for a Batson 12 challenge in this case” because the defendant had not shown that there was “some nexus in striking all of any minority element.”
On appeal, Johnson contends that the court erred in not requiring the prosecutor to state a race-neutral reason for the peremptory strike after Johnson made a
prima facie
showing of purposeful discrimination. Although we agree that a
prima facie
case can be established by showing that the prosecutor used a peremptory challenge to remove the only person of the same ethnicity as the defendant,
see State v. Bailey,
The transcript of the voir dire examination reflects that both the judge and the prosecutor were unsure of the race of the potential juror. The judge supposed that he was not Caucasian, but did not believe that he was Black. More importantly, the prosecutor expressly stated that he had not perceived that the potential juror was Black, part Black, or non-Caucasian.
The record does not support the inference that the prosecutor struck the juror because of race. The prosecutor rightly or wrongly thought the juror was Caucasian. Moreover,- the final make-up of the jury included other minority individuals. In light of the lack of facts supporting an inference that the prosecutor’s peremptory challenge was racially motivated, the trial court could find that Johnson had not satisfied his burden of showing a prima facie case. See Jordan. Accordingly, we find no error in the court’s denial of Johnson’s request that the state explain its peremptory strike.
Victim’s Hearsay Statements
Prior to trial, the state moved in limine to admit out-of-court statements M.K. made to both the police and the examining physician at the hospital on the ground that they were admissible under Ariz.R.Evid. 803(2), 17A A.R.S., as excited utterances. The statements included a physical description of the assailant and the only evidence of forced fellatio. The state also sought to introduce M.K.’s statement when she identified Johnson from a photographic line-up the following day. The trial court initially denied the motion as to the statements made to police at the hospital. Following the state’s offer of proof, the trial court reversed its ruling, finding the statements to both the physician and *634 the police admissible under the excited utterance exception. The court also ruled that the state could introduce M.K.’s statement at the photographic line-up if she testified.
Johnson contends that the trial court erred in admitting these statements because “by the time [M.K.] was at the hospital, she was no longer suffering from the immediate emotional alarm.” For a statement to be admissible as an excited utterance, three requirements must be satisfied: 1) there must have been a startling event, 2) the statement must have been made soon after the event so that the declarant did not have time to fabricate, and 3) the statement must relate to the startling event.
State v. Whitney,
M.K. was violently raped around 8:30 a.m. The rapist told her he knew where she lived and he threatened to kill her. She was examined by Dr. Wissing at the hospital at approximately 9:33 a.m. Wissing testified that throughout the examination, M.K. was “upset ... frightened and overall nervous.” Immediately afterwards, Detective Tutor interviewed M.K. in the hospital examining room. He testified that she was “mad, angry” and did not want to speak to him. Even when she did talk to him, she would “cry at times and [become] angry at other times.”
These facts support the inference that when M.K. was interviewed, she was still suffering from the emotional trauma of the rape. “Testimony that a declarant still appeared nervous or distraught and that there was a reasonable basis for continuing emotional upset can be sufficient proof of spontaneity even where the interval between the startling event and the statement is long enough to permit reflective thought.”
State v. Anaya,
We also find no error in the trial court’s admission of M.K.’s statement at the photographic line-up. Evidence Rule 801(d)(1)(C) provides that a statement is not hearsay if the declarant testifies at trial and is subject to cross-examination and if the statement is “one of identification of a person made after perceiving the person.” M.K. testified at trial, and her prior statement involved the visual identification of Johnson as the rapist. Because her statement was clearly within the scope of the rule, we find no error in its admission.
Trial Court’s Comment on Witness
Johnson next contends that the trial court improperly commented on Detective Tutor’s credibility and “aligned [itself] with [him].” Just before Tutor testified for a second time, the court remarked:
Mr. Tutor, if you’ll come up and be sworn, please. Probably unnecessary. I think you were sworn when you took the stand earlier briefly. Now, you are doubly truthful.
Because Johnson did not object, the issue has been waived on appeal,
State v. Lichon,
We do not believe the court’s remark could reasonably be considered a comment on Tutor’s credibility or, as Johnson suggests, an expression of “the court’s opinion regarding the state’s case.” Before a statement by a trial court will be considered a comment on the evidence, it must express an opinion of what the evidence proves.
State v. Barnes,
Recalling State Witness
After beginning its deliberations, the jury sent two questions to the trial court: 1) ‘Were photos in the same format (these mounted) when presented to [M.K.], or loose in the folder?” and 2) “Does Mr. Johnson have a limp now or at the time of [M.K.’s] attack?” The trial court, over defense objection, recalled Detective Tutor as “the court’s witness” to answer the questions. Johnson contends that this unusual procedure prejudiced his defense. We disagree. The record shows that throughout the trial, the court had encouraged questions from the jury. At this particular time, the court explained to the jury that it had consulted with both counsel and was recalling Tutor only because he was one of the witnesses who was able to answer the questions and because he was still there. When Tutor was called, the court asked him only those questions that the jurors had raised. The court then gave both attorneys an opportunity to examine Tutor, an opportunity which defense counsel declined. The trial court has wide discretion in calling and examining witnesses. Ariz. R.Evid. 614(a), 17A AR.S. Having found no evidence of prejudice to Johnson, we cannot say that the court’s procedure was an abuse of discretion.
Preclusion of Johnson’s Argument
In closing argument, defense counsel attempted to discredit the testimony of the woman Johnson visited the morning of the rape as to the times that Johnson had arrived at and left her apartment, arguing that the interviewing officer might have “inadvertently” suggested to her the “correct time.” .The trial court sustained the state’s objection. Johnson contends that the court erred in precluding “fair rebuttal” to the state’s attempt to discredit his alibi witnesses. This claim is without merit as there is no evidence in the record to support it. While counsel are given wide latitude in closing arguments and may draw all justifiable and reasonable inferences from the evidence, they may not argue matters not in evidence.
State v. Garcia,
Sentencing
Lastly, Johnson contends that the trial court erred in utilizing the “mere report of an arrest” and pending charge of attempted murder in Pima County as an aggravating circumstance, requiring that he be resentenced. We disagree. The trial court considered more than Johnson’s arrest in using the Pima County charges as an aggravating factor. It also considered the fact that a grand jury had found probable cause to believe that, while on release, Johnson committed attempted first-degree murder, sexual assault, kidnapping, first-degree burglary, and sexual abuse. 13
A trial court may aggravate a sentence based on prior incidents that do not result in convictions provided there is some “ ‘evidence of the underlying facts to demonstrate that a crime or some bad act was
probably committed
by the defendant.’ ”
State v. Rebollosa,
We have reviewed the entire record for fundamental error and have found none. The conviction and the sentence imposed are affirmed.
Notes
. In a two-day pretrial hearing, the state introduced detailed testimony by Hogan and Dr. Richard Hallick, a molecular biology professor at the University of Arizona, about DNA analysis and DPS laboratory procedures. Simply stated, DNA is present in most cells of living organisms and is made up of many components whose precise pattern determines each individual's genetic code. Certain locations or segments of that pattern determine certain genetic traits, both common and unique, and are called alleles. Because many reported cases have previously outlined the complex scientific basis and testing protocols involved in DNA typing, specifically as in this case, what is known as restriction fragment length polymorphism (RFLP) analysis, and because those matters are not at issue in this appeal, we forego adding our own account. For a general overview of DNA and DNA profiling,
see State v. Bible,
. NRC members are drawn from the councils of the National Academy of Sciences, the National Academy of Engineering, and the Institute of Medicine.
. At the time of the Frye hearing in this case, the NRC report had not yet been published. However, the trial court was presented with the NRC’s prepublication manuscript, which detailed its recommendations.
. For a more complete explanation of Hardy-Weinberg and linkage equilibrium, see Cauthron.
. Cellmark Diagnostic Laboratories, Inc. is one of several commercial laboratories that performs forensic DNA typing and analysis.
.
Bible
itself pointed out that many cases admitting DNA probability calculations were distinguishable because they involved other laboratories than Cellmark and different databases.
.
But see State
v.
Bogan,
. As in
Bible,
much of the case law and scientific literature we refer to was unavailable at the time of Johnson’s trial. Because “neither logic nor authority supports confining ourselves to a snapshot, rather than viewing the motion picture, of technological advancement,”
. We note that in response, to calls for further empirical data, the FBI completed a worldwide population study that rebuts the hypothesis that population subgroups significantly affect DNA probability estimates. IA U.S. Dept, of Justice, *632 FBI Rep., VNTR Population Data: A Worldwide Study (1993).
.
See Venegas; Soto; Porter II; Bridgett; Brim v. State,
.
See Barney; Sivri; Vargas v. State,
.
Batson v. Kentucky,
. On April 6, 1993, a Pima County jury found Johnson guilty on all six counts. These convictions were affirmed by this court in State v. Johnson, 2 CA-CR 93-0295 (memorandum decision filed September 29, 1994).
