A public relations manager for the Cincinnati Reds wants to determine the percentage of local college students who attended a Reds baseball game at Great American Ballpark during the 2012 season. A sample of n = 620 students who are enrolled at a college or university within 25 miles of the Reds ballpark was asked whether or not they attended at least one Cincinnati Reds game during the 2012 season. Out of the 620 students asked, 245 answered “yes”. a. What is the population for this study? b. The manager wants to estimate the proportion of students who attended at least one Reds game. Check to determine if the assumptions/conditions are met to create a confidence interval on the proportion of students who attended a Reds game during 2012. Address each briefly. c. Calculate a 95% confidence interval for the proportion of students in the population who attended at least one Cincinnati Reds game during the 2012 season. d. Does your confidence interval support a claim that at least 35% of students in the population attended a Reds game during the 2012 season? Explain your answer .
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