In: Statistics and Probability
A) Many celebrities and public figures have Twitter accounts with large numbers of followers. However, some of these followers are fake, resulting from accounts generated by spamming computers. In a sample of 46 twitter audits, the mean percentage of fake followers was ?̅= 15.9 with a standard deviation of ? = 9.3. Construct a 99% confidence interval for the mean percentage of fake Twitter followers.
B) An executive at Twitter claims that the percentage of fake Twitter followers is less than 10. Based on the confidence interval, is this a reasonable claim?