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Are you likely to purchase an item promoted by a celebrity on a social media sit

ID: 3221912 • Letter: A

Question

Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 27% 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=11,000. 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. nothing less than or equals pi less than or equals nothing (Type an integer or a decimal. Round to four decimal places as needed.)

Explanation / Answer

here estimated proportion p=0.27

hence std error =(p(1-p)/n)1/2 =0.0042

for 95% confidence interval; z=1.96

hence 95% Confidence interval =sample proportion -/+ z*std error =0.2617 ; 0.2783

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