en.m.wikipedia.org/wiki/Sex_differences_in_crime

This wikipedia article lists all different studies why. The short answer is patriarchy - men have more occasion to commit crimes and it’s more acceptable from gender role point of view for men to do so.

It also list studies of crimes and offenses where women are found to be more often perpetrators than men, including a very comprehensive guide to domestic violence studies.

To sum it up - your both correct, men do more bullshit, women have similar capacity for it, we are expected to express the bullshit differently.