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?
What will be an ideal response?
?
| a. | .276 to .424 (rounded) |
| b. | 972 |
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