BOSTON -- How many dads do you think would be willing to trade in their day job to assume the role of Mr. Mom?

A new survey found that many would be happy to do it.

It found four in 10 working dads would do it if their spouse made enough to support their families.

Forty-four percent of fathers also said they'd take a pay cut to spend more time with their kids.

And 58 percent said they've missed at least one significant event in their children's lives in the last year because of work.

The U.S. Census Bureau also reports that there are 143,000 estimated "stay-at-home" dads. These married fathers with children under 15 years old have remained out of the labor force for more than one year primarily so they can care for the family while their wives work outside the home. These fathers cared for 245,000 children under 15.

The Census Bureau also reported that 20 percent of fathers with employed wives are the the primary caregiver for their preschooler.

In contrast, 6 percent of fathers provided the most hours of care for their grade-school-aged child.

Thirty-two percent of fathers regularly worked evening or night shifts and were the primary source of care for their preschoolers during their children's mother's working hours.

For fathers working part-time, the proportion was 38 percent. For fathers who were not employed, it was 52 percent.