Are women more religious? It seems so, but perhaps they have just learned to give conventional answers to conventional questions. I ruminated elsewhere…
It has been suggested in the past that women are more religious because they depend more on luck for the outcome of their lives, e.g. the real personality of whomever they marry. They are more rewarded for being conventional. They are more punished for speaking up. They are busier with household and childrearing responsibilities. They make less money and cannot buy free time in the form of services such as laundry, take-out food, or housekeeping. They’ve learned to keep their heads down and not volunteer opinions that might be shot down.
For many women, especially in small communities, the church is their social life and their only source of authority or autonomy outside the home. And they are appreciated, at least by the other women in the group. Churches would dry up and blow away without the Women’s Auxiliary.
I think that’s enough to explain the gap. If you want to find the women, look at volunteer positions, clinic defences, etc.