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Are you likely to purchase an item promoted by a celebrity on a social media site? According to a Brand Republic survey, 26% of social media users have made such a purchase

a. Suppose that the survey had a sample size of n = 1,000. Construct a 95% 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.

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 confidence interval estimation.

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