The defendant appeals from his convictions of indecent assault and battery upon a child under age fourteen, G. L. c. 265, § 13B, returned by a jury after a four-day trial.1 He contends that it was prejudicial error for the *66prosecutor to elicit from the four fresh complaint witnesses testimony that they believed the complainant was telling the truth at the time of her disclosures. The defendant objected to the questioning of only one of these witnesses. Nonetheless, we set aside the verdicts and reverse the convictions.
The evidence and the proceeding below. The complainant, eight years old at the time of trial, testified that the defendant, her former stepfather, had sexually abused her on three occasions in the spring of 1989 when she was six years old, after his separation from her mother. In the summer of 1989, the complainant first spoke of the sexual abuse to both her mother, Marie Lynch, and her mother’s sister, Diane Guarente. In July of 1990, she disclosed the alleged abuse to Katherine O’Neill, a social worker with the Department of Social Services. After speaking with O’Neill, the complainant spoke with Guarente again, supplying more details about the abuse than before. In February of 1991, the complainant told Detective Martin Nee of the sexual assault unit of the Boston police department about the alleged assault.
The allegations were denied. The defendant offered evidence to prove that the complainant may have contrived the allegations against him because she was jealous of the time he spent with her younger half sister Carol2; and he offered evidence that the complainant’s mother was vengeful because of her involvement with the defendant in a custody dispute over Carol. He accounted for the complainant’s knowledge of sexual matters with evidence that she had heard her mother discuss explicit sexual matters with different friends on many occasions.
In addition to the complainant’s testimony with regard to the defendant’s alleged abuse of her, the prosecution called the four fresh complaint witnesses to corroborate the complainant’s testimony. The prosecutor also asked each of the four witnesses whether he or she believed that the complainant was telling the truth. A portion of Marie Lynch’s testimony went as follows:
*67Q: “Is there any doubt in your mind that [the complainant is] telling you the truth about what the defendant did to her?”
A: “There’s no doubt in my mind.”
Q: “Did you believe your daughter in June of 1989, when she told you what he did to her?”
A: “No; I didn’t.”
Q: “Was there a reason you didn’t?”
A: “I couldn’t believe that he would do something like that.”3
Q: “What is it now that makes you believe that he could?”
A: “When she went into detail and she told me so many things that would be so unknown to her, . . . can’t see how she can be lying.”
Q: “Is there anything else about her behavior that makes you feel that what she’s telling you is the truth?” A: “She seems like she has a lot off her mind, and she’s doing a lot better.”
Q: “Is her twenty-four hour day like any other child’s pretty much at this point?”
A: “Yes it is.”
Q: “Have you had any discussions with [the complainant] about not believing her in June of 1989?”
A: “Yes; I did.”
Q: “When?”
A: “After she told the social worker and she went into detail with me, I told her I was sorry that I didn’t believe her, and I felt a lot of guilt that I made her carry that all by herself for so long.”
Q: “And do you feel guilty at this point?”
A: “Yes; I do.”
Q: “And there is no doubt in your mind at this time?” A: “No doubt.”
*68The prosecutor also asked Guarente whether there was “any doubt in [her] mind that [the complainant] is telling the truth?” to which she responded, “She’s telling the truth.” From O’Neill, the social worker, the prosecutor elicited testimony that she had told Lynch she was convinced that the defendant had touched the complainant sexually because she “did not believe in [her] experience that a child would make a spontaneous disclosure that was that clear, in that way.” The prosecutor summed up her direct questioning of O’Neill by asking, “Is there any question in your mind that [the complainant] was being truthful with you when she told you that the defendant touched her in a place where he shouldn’t?” O’Neill replied, “I was absolutely convinced at that time.”
Finally, the prosecutor asked Detective Nee his opinion as to the complainant’s credibility:
Q: “Based on your experience, detective, in interviewing children who "have been the subject of sexual abuse, was there anything in this child’s demeanor that may have suggested to you that she was lying to you?”
A: “No, nothing.”
Discussion. The testimony of the four fresh complaint witnesses with regard to the credibility of the complainant was not admissible. “Evaluations of credibility are, of course, within the exclusive province of the trier of fact.” Commonwealth v. Ianello, 401 Mass. 197, 202 (1987), quoting from Commonwealth v. Bohannon, 376 Mass. 90, 94 (1978). Further, “[t]he courts guard against encroachments on the province of the jury.” 401 Mass. at 203. Compare Commonwealth v. Montanino, 409 Mass. 500, 502-505 (1991) (testimony designed to present to the jury the witnesses’ opinion that the complainant was credible because irregularities in his earlier statements were consistent with the conduct of truthful victims of sexual abuse was held to be error requiring reversal).4 *69“The opinion testimony . . . violated the long-standing rule that witnesses may not offer their opinions regarding the credibility of another witness.” Id. at 504.
The Commonwealth mistakenly relies on Commonwealth v. Grenier, 415 Mass. 680, 689-690 (1993), where the facts are quite different. There the court held it was hot error to admit a police inspector’s accusation that he did not believe the defendant, made during the course of a police interrogation of the defendant, and that the defendant then became “noticeably nervous.” “[The police officer’s] statement [to the defendant], in the course of a police interview, that he did not believe the defendant is not the same as the testimony of a witness at trial who impermissibly expresses an opinion about the credibility of another witness” (emphasis added). Id. at 690. Here, plainly, we have an impermissible opinion, not an accusation made during an interrogation.
The Commonwealth argues that the witnesses were not commenting upon the complainant’s trial testimony, but rather about her demeanor at the time she complained to them. The Commonwealth’s characterization of the testimony in question as demeanor evidence is simply disingenuous. We recognize that demeanor evidence may be admissible as a “summary description of . . . [another’s] emotional, mental or physical condition.” Commonwealth v. Shine, 398 Mass. 641, 656 (1986). See Liacos, Massachusetts Evidence § 7.5, at 370 (6th ed. 1994). However, the challenged testimony — that the witnesses believed the complainant’s allegations when made — bears no relation to her appearance or emotional state.
In sum, the testimony of the fresh complaint witnesses with regard to the credibility of the child should not have been in evidence; but because the defendant failed to object to all but Detective Nee’s testimony regarding the complainant’s credibility,5 we must determine whether the admission *70of the evidence created a substantial risk of a miscarriage of justice. Commonwealth v. Freeman, 352 Mass. 556, 563-564 (1967). See generally Commonwealth v. Miranda, 22 Mass. App. Ct. 10, 21 (1986), discussing standards for application of the Freeman exception. We conclude that the defendant was subjected to such a risk.
Preliminarily, we note that the opinion testimony of fresh complaint witnesses, favorable as to the credibility of the complainant, is especially pernicious here for the additional reason that the opinions admitted in evidence enhanced the likelihood that the jury would accept such testimony for the truth of the complainant’s fresh complaint statements, and not merely the fact of the complaint; however, fresh complaint statements are not admissible for the truth of what was said by the complainant. Commonwealth v. Licata, 412 Mass. 654, 660 (1992). The error in admitting the testimony was doubly wrong, and adds to the prejudice to the defendant.
The prejudice to the defendant was further compounded by the testimony of two of the four fresh complaint witnesses. The jury likely perceived Katherine O’Neill and Detective Nee, because of their extensive background in sex abuse cases,6 as especially qualified to judge the credibility of children. However, in this Commonwealth, an expert may not offer an opinion on a witness’s credibility, even that of a child who alleges sexual abuse. Commonwealth v. Ianello, 401 Mass. 197, 202 (1987).
Further, the prosecution’s evidence was not overwhelming. Inevitably, as in most such cases, the complainant was the key prosecution witness, and her credibility was the crucial issue. In these circumstances, the improper use of fresh com*71plaint testimony of no fewer than four witnesses* **7 so unfairly bolstered the complainant’s testimony that the defendant was deprived of a fair trial. Thus, it is impossible to conclude that the challenged testimony was without prejudicial and consequential effect on the jury. See Commonwealth v. Long, 17 Mass. App. Ct. 707, 710 (1984).
We conclude that the error is “sufficiently significant in the context of the trial to make plausible an inference that the result might have been otherwise but for the error.” Commonwealth v. Miranda, 22 Mass. App. Ct. at 21. The Commonwealth’s questions did not go to minor inconsistencies in testimony that had no bearing on the central issue. Compare Commonwealth v. Krepon, 32 Mass. App. Ct. 945, 948 (1992). Here, the four witnesses were polled on the very question the jury was asked to decide — whether the alleged abuse had really occurred.8
*72Finally, there appears to have been no strategic reason for not objecting to the challenged evidence. Cf. Commonwealth v. Sugrue, 34 Mass. App. Ct. 172, 174 (1993) (holding ineffective assistance of counsel). Nothing in the judge’s instructions to the jury mitigated the prejudice.
We add only that on retrial of this case, the Commonwealth should avoid urging the jury in its closing argument that, by finding the defendant guilty, they will support the complainant, whom “no one [had] wanted to believe. . . .” See Commonwealth v. Sanchez, 405 Mass. 369, 375 (1989) (prosecutor’s statement to jury that they should convict defendant to end victims’ nightmares was an improper “exhortation that the jury had a duty to the victims to render verdicts of guilty”); Commonwealth v. McLeod, 30 Mass. App. Ct. 536 (1991).
Judgments reversed.
Verdicts set aside.