Males with the highest testosterone levels were significantly faster in the 20 m (p = 0.033) and 30 m (p = 0.014) sprint trials compared to males with lower testosterone levels.
There is a wide sex difference in circulating testosterone concentrations and a reproducible dose-response relationship between circulating testosterone and muscle mass and strength as well as circulating hemoglobin in both men and women. These dichotomies largely account for the sex differences in muscle mass and strength and circulating hemoglobin levels that result in at least an 8% to 12% ergogenic advantage in men.
Together, these findings indicate that, in female athletes, even normal levels of endogenous androgens are positively correlated to lean mass and physical performance.
This is what I found after looking for just a few minutes. I’m honestly not sure why I’m doing this, because the positive effect of testosterone on athletic performance is a well-established fact. That’s why some athletes try to cheat by injecting testosterone, and why people with XY chromosomes but total androgen insensitivity develop a female phenotype (although they are infertile). I really have no idea why you think that science is undecided on this topic.