Are you likely to purchase an item promoted by a celebrity on Social Media?
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. social media site. a. Suppose that the survey had a sample size of n - 800. 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 0.239 Sx5 0301 (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? A. No. because the confidence interval contains proportion values that are less than 0.25. OB. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0.25. C. Yes. with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. D. No, because a 95% 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 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 Sas (Type an integer or a decimal Round to four decimal places as needed.) Based on the confidence interval created using a sample size of 1 1,000, 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? A. No, because the confidence interval contains proportion values that are less than 0.25 B. No. because a 95% confidence interval is not indicative of a guarantee A 99.9% confidence interval would be needed to make such a claim. C. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. O D. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0 25 d. Discuss the effect of sample size on confidence interval estimation. Choose the correct answer below A. A larger sample size results in a narrower confidence interval, holding everything else constant. B. Alarger sample size has no effect on a confidence interval, holding everything else constant. OC. A larger sample size results in a wider confidence interval, holding everything else constant OD. It is impossible to compare confidence interval estimates with difference sample sizes because the sample size is part of the formula for finding confidence interval estimate limits. ? Click to select your answer(s)
