Stay-at-home dads A Time magazine article about a survey of men’s attitudes reported that 11 of 161 black respondents and 20 of 358 Latino respondents responded “Yes” to the question “Are you a...

Stay-at-home dads A Time magazine article about a survey of men’s attitudes reported that 11 of 161 black respondents and 20 of 358 Latino respondents responded “Yes” to the question “Are you a stay-at-home dad?” How big is the difference in proportions in the two populations?

 a) Construct and interpret an appropriate confidence interval.

 b) Overall, the survey contacted 1302 men and claims a margin of error of {2.9%. Why is the margin of error different for your confidence interval?