In: Statistics and Probability
Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 26% of social media users 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 population proportion of social media users that have purchased an item promoted 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 all social media users have purchased an item promoted by a celebrity on a social media site?
c. Repeat parts (a) and (b), assuming that the survey had a sample size of n= 10,000
d. Discuss the effect of sample size on the confidence interval estimate