CBU planner is interested in determining the percentage of spring semester students will attend summer school. She takes a pilot sample of 160 spring semester students discovering that 56 will return to summer school to take courses as well as engage in some Christian activities on campus. (Provide mathematical steps and explanations in detail to receive full credit.)
a. Construct a 88%, and 95% confidence interval estimate for the percentage of spring semester student who will return to summer school
b. Using the results of the pilot study with a 88% and 95% confidence interval in part a, how large of a sample would have to be taken to provide a margin of error of 3% or less for each?
c. What will motivate students to take courses while engaging in Christian activities and serving others during summer? This is an open-ended question and you can discuss anything using bible verses.