A recent survey of 3,057 individuals asked: "What’s the longest vacation you plan to take this summer?" The following relative frequency distribution summarizes the results. (You may find it useful to reference the z table.)
Response Relative Frequency
A few days 0.21
A few long weekends 0.18
One week 0.36
Two weeks 0.22
a. Construct the 95% confidence interval for the proportion of people who plan to take a one-week vacation this summer. (Round final answers to 3 decimal places.)
b. Construct the 99% confidence interval for the proportion of people who plan to take a one-week vacation this summer. (Round final answers to 3 decimal places.)
c. Which of the two confidence intervals is wider?
multiple choice
95% confidence interval.
99% confidence interval.
