Imagine that the samples of young men and women described in Problem 7 were seventy and thirty-eight, respectively.

a. Calculate the standard errors for men and women with these new sample sizes.

b. Calculate the margin of error for the 80% confidence intervals using the standard errors from Part a.

c. Calculate the 80% confidence intervals for men and women.

d. Is there evidence that young women are actually more likely to volunteer for causes they care about? Has this answer changed from Part g of Problem 7? If so, why?