Are you likely to purchase an item promoted by a celebrity on asocial media​ site? According to a​ survey, 26​% of social mediausers have made such a purchase. Complete parts​ (a) through​ (d)below.
a. Suppose that the survey had a sample size of n =900.Construct a 90% confidence interval estimate for the populationproportion of social media users that have purchased an itempromoted by a celebrity on a social media site.
≤ π ≤
​(Type an integer or a decimal. Round to four decimal places as​needed.)
b. Based on​ (a), can you claim that more than a quarter of allsocial media users have purchased an item promoted by a celebrityon a social media​ site?
c. Repeat parts​ (a) and​ (b), assuming that the survey had asample size of n= 10,000
d. Discuss the effect of sample size on the confidence intervalestimate
