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Are you likely to purchase an item promoted by a celebrity on a social media​ site?...

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Statistics

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

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