Question #2

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 = 1000. 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. STS (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? O A. Yes, with 90% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. O B. No, because the confidence interval contains proportion values that are less than 0.25. O C. Yes, with 90% confidence because all the values contained in the confidence interval are greater than 0.25. O D. No, because a 90% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim. c. Repeat parts (a) and (b), assuming that the survey had a sample size of n = 11,000. 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. STS (Type an integer or a decimal. Round to four decimal places as needed.) Based on the confidence interval created using a sample size of 11,000, 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