A Monster.com poll of 3,057 individuals asked: "What's the longest vacation you plan to take this summer?" The following relative frequency distribution summarizes the results.

Response Relative Frequency A few days 21%

A few long weekends 18%

One week 36%

Two weeks 22%

Source: The Boston Globe, June 12,2007.

a. Construct a 95% confidence interval for the proportion of people who plan to take a one-week vacation this summer.

b. Construct a 99% confidence interval for the proportion of people who plan to take a one-week vacation this summer.

c. Which of the two confidence intervals is wider? P-69