A college believes that 26% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who
Have parents who have remarried to within 5 percentage points with 95% confidence?
A) 99
B) 210
C) 444
D) 296

Question

Quizplus · Accepted Answer

To determine the sample size needed for estimating a proportion with a given margin of error and confidence level, we use the formula: n = (Z^2 * p * (1-p)) / E^2. For 95% confidence, Z is 1.96. Here, p = 0.26 and E = 0.05. Plugging these values into the formula gives approximately 296.

A College Believes That 26% of Applicants to That School