Statistically, and honestly, anyone who spends five minutes looking around their friends, family and colleagues as well as random people on the road will know this is true - men drive more often when both a man and woman are in the car. Even if this thread may be even more skewed to this due to the OP's original question.
Women also, on average, do more cooking in the home. Is this genuinely just because women prefer cooking? Pure coincidence? And unlike the mechanics example (which I totally am behind @formerbabe), it's interesting that chefs are more likely to be men.... Suggesting that cooking is certainly not naturally a female thing.
Recognising that these trends represent something doesn't mean we have to burn the whole lot to the ground. It's just worth considering.
On driving, I am so tired of the old trope that women are less confident/competent drivers. But when you look at threads like this, or again, in real life, it's visible. But THEN I think about how women are taught to drive. As a teenager, my Dad took a very tough love approach to teaching all of his children to drive. There was zero tolerance for fear or nervousness. His view is that a car is a very important, but also dangerous, piece of equipment and we needed to learn to be in control of it at ALL times. On my first driving lesson he made me do a u-Turn, reverse, a hill start and go into 4th gear. It was only months later when my girlfriends started learning to drive that I discovered most of them were still tootling along in 2nd gear on lesson 6, had never had to reverse and certainly weren't doing hill starts.... But the boys were receiving similar lessons to me. that's socialisation.