A 2017 survey of U.S. adults found that 74% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was 1000.

a. How many people in the sample felt this way?

b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met.

c. Find a 95% confidence interval for the proportion of U.S. adults who believe that protecting the rights of those with unpopular views is a very important component of a strong democracy.

d. Find the width of the 95% confidence interval. Round your answer to the nearest tenth percent.

e. Now assume the sample size was 4000 and the percentage was still 74%. Find a 95% confidence interval and report the width of the interval.

f. What happened to the width of the confidence interval when the sample size was increased? Did it increase or decrease?