There is a far cry between "Stereotypes are generally accurate" and "being able to make a specific measured claim on the basis of a stereotype."

You also don't actively prove this claim, which means that we may know that it's "more likely to be true than not" based on your shared information, but could still absolutely be false.

Which leads me to my question, "Why would you make a comment about the correctness of stereotypes, rather than just finding actual data about the stereotype in question?"