Are you more likely to purchase a brand mentioned by an athleteon a social media site? According to Catalyst Digital FanEngagement survey, 53% of social media sports fans would make sucha purchase.
A) Suppose that the survey had a sample size of n=500. Constructa 95% confidence interval estimate for the population proportion ofsocial media sports fans that would more likely purchase a brandmentioned by an athlete on a social media site.
B) Based on (a), can you claim that more than half of all socialmedia sports fans would more likely purchase a brand mentioned byan athlete on a social media site?
C) Repeat parts (a) and (b), assuming that the survey had asample size of n=5,000.
D) Discuss the effect of sample size on confidence intervalestimation.
