A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200
Students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the
Proportion of all students receiving financial aid to within 1% with 99% reliability, how many
Students would need to be sampled?
A)16,040
B)6229
C)161
D)3880

Question

Quizplus · Accepted Answer

To estimate the proportion with 1% margin of error and 99% confidence, the sample size formula n = (Z^2 * p * (1-p)) / E^2 is used. With Z=2.576 for 99% confidence, p=0.59 (from 118/200), and E=0.01, the calculation gives approximately 16,040.

A University Dean Is Interested in Determining the Proportion of Students