Question

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 2016 season. A sample of 648 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 2016 season. Out of the 648 students asked, 246 had attended a game during the 2016 season.

• With 95% confidence, we estimate between ___% and ___% of all students enrolled at a college or university within 25 miles of the Reds ballpark attended at least one game in the 2016 season. (After converting to percentages, round the limits of your interval to two decimal places.)

• Does the interval above provide evidence that more than 35% of of students in the population attended at least one Reds game in the 2016 season? SELECT ONE
  • Yes because both limits of the interval are greater than 35%.
  • No because both limits of the interval are below 35%.
  • No because the upper limit of the interval is greater than 35% while the lower limit is less than 35%.
  • Yes because the upper limit of the interval is greater than 35%.

• A 98% confidence would be ____ (no different wider narrower) than the interval found in the first part of this question. An interval found using a sample of 1996 students would be ____ (no different wider narrower) than the interval found above.

• The statistician would like to plan a sample for the 2017 season. They would like to increase the level of confidence to 98% with a margin of error of 1.89%. If they choose not to use last season's estimate as a starting point, how many people should be included in the 2017 sample?
  • n =

Answer 1