One other comment on your comment of many female nurses (among other professions, great graph here showing that surprisingly few professions are even close to 50/50 mix: https://espnfivethirtyeight.files.wordpress.com/2014/10/chal...)

Keeping it simple and assuming that the economy needs a stable amount of nurses + coders, for every girl who decides to be a coder instead of a nurse, you are saying a boy should be a nurse instead of a coder! But as you say, I don't see a big push for boys to do other things, which is exactly what would have to happen.*

*I understand price substitution effects occur, but the general idea is still correct.