The Pew Research Center has conducted extensive research on the young adult population (Pew research website, November 6, 2012). One finding was that 93% of adults aged 18 to 29 use the Internet. Another finding was that 21% of those aged 18 to 28 are married. Assume the sample size associated with both findings is 500.

a. Develop a 95% confidence interval for the proportion of adults aged 18 to 29 who use the Internet.

b. Develop a 99% confidence interval for the proportion of adults aged 18 to 28 who are married.

c. In which case, part (a) or part (b), is the margin of error larger? Explain why.