A university's administrator proposes to do an analysis of the proportion of graduates who have not found employment in their major field one year after graduation.In previous years,the percentage averaged 13%.He wants the margin of error to be within 4% at a 99% confidence level.What sample size will suffice? Use 2.575 as the critical value for a 99% confidence interval.

Question

Quizplus · Accepted Answer

The sample size can be calculated using the formula for margin of error: n = (Z^2 * p * (1-p)) / E^2, where Z is the critical value (2.575), p is the proportion (0.13), and E is the margin of error (0.04). Plugging in these values gives approximately 469.

A University's Administrator Proposes to Do an Analysis of the Proportion