Of 1019 U.S. adults responding to a 2017 Harris poll, 47% said they always or often read nutrition labels when grocery shopping.

a. Construct a 95% confidence interval for the population proportion of U.S. adults who always or often read nutrition labels when grocery shopping.

b. What is the width of the 95% confidence interval?

c. Name a confidence level that would produce an interval wider than the 95% confidence interval. Explain why you think this interval would be wider than a 95% confidence interval.

d. Construct the interval using the confidence level you proposed in part c and find the width of the interval. Is this interval wider than the 95% confidence interval?