I have seen a strong inverse correlation in my (anecdotal and quite brief) professional life :|
https://en.wikipedia.org/wiki/Berkson%27s_paradox
In short: people can be correct when they notice an inverse correlation, because their world consists of people who got into the same university, or workplace, or club, as them. But the correlation is exactly the opposite in society as a whole.
When I was in grad school (physics) the female grad students used to talk about how you couldn't wear makeup or do your hair and be taken seriously.