Care to poll a coal mine or oil rig?
The societal expectation is that men do hard/dangerous work, while women do housework and childcare. Technology has automated away most of the former jobs, such that only a tiny minority of men are working in a coal mine or oil rig. Technology has yet to do much to automate childcare. The result has been a windfall for men--they have five more hours of leisure time per week than women.[1] Judging by these statistics of the non-employed, I imagine such trends will only be magnified with increased automation, and under policies like guaranteed minimum income.
[1] http://www.pewresearch.org/fact-tank/2013/06/10/another-gend...
Indeed, if you add up work + leisure, and subtract out 8 hours a day of sleep, there's 32 hours a week left over for men, and 38 left over for women. I wouldn't be surprised if a lot of this time precludes leisure activities because of the "on call" nature of being the primary care-giver.
Moreover, simply adding up housework + childcare time doesn't quite capture the situation. Spending a day taking care of a kid is much more exhausting than working at a typical white-collar job. It's blue-collar work that cuts across the economic classes in a world where most men aren't doing blue-collar work. Last year I had a 9-5, while my wife had a busier schedule. So I'd cook and watch our daughter until she got home. At 8:00 when my wife got home, she had much more energy for leisure activity. I'm a guy who regularly works 70-80 hour weeks, but a day taking care of our toddler puts me right out.
Also, while I'm burning karma: the point at which 50% of men are awake is 39 minutes later than for women, and the point at which 50% of each sex are asleep is only 13 minutes earlier for women. I.e. men are sleeping substantially longer, in addition to watching a lot more TV and doing a lot less housework, shopping, and child/elder-care. Says a lot about how our culture coddles men.