Definitely! If I were being pedantic [I guess I am :-) ], I'd probably say the best prior would be p =(n male scientists/number all scientists) Overall I bet

Definitely! If I were being pedantic [I guess I am :-) ], I'd probably say the best prior would be p =(n male scientists/number all scientists) Overall I bet men are slightly more than 1/2, but even if it's an 80/20 split the p value for this would be many sigma.