8.3.30-T Question Help | Are you likely to purchase an item promoted by a celebr

Question

8.3.30-T Question Help | 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 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. (Type an integer or a decimal. Round to four decimal places as needed.)

Explanation / Answer

p is 0.26 and N is 900

for 95% confidence, the z value is 1.96

thus the lower bound is p-z*sqrt(p*(1-p)/N)=0.26-1.96*sqrt(0.26*(1-0.26)/900)=0.2313

upper bound is p+z*sqrt(p*(1-p)/N)=0.26+1.96*sqrt(0.26*(1-0.26)/900)=0.2887

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