In a CNNMoney.com poll conducted on July 13, 2010, a sample of 5,324 Americans were asked about what matters most to them in a place to live. Thirty-seven percent of the respondents felt job opportunities matter most.

a. Construct the 90% confidence interval for the proportion of Americans who feel that good job opportunities matter most in a place to live.

b. Construct the 99% confidence interval for the proportion of Americans who feel that good job opportunities matter most in a place to live.

c. Which of the above two intervals has a higher margin of error? Explain why.