A University Planner Is Interested in Determining the Percentage of Spring

Essay

A university planner is interested in determining the percentage of spring semester students who will attend summer school.She takes a pilot sample of 160 spring semester students discovering that 56 will return to summer school.
a.
Construct a 95% confidence interval estimate for the percentage of spring semester students who will return to summer school.
b.
Using the results of the pilot study with a .95 probability, how large of a sample would have to be taken to provide a margin of error of 3% or less?