The National Center for Education Would Like to Estimate the Proportion

Multiple Choice

The National Center for Education would like to estimate the proportion of students who defaulted on their student loans for the state of Arizona. A pilot sample of 50 students with loans from Arizona found that eight had defaulted on their loans. The total sample size needed to construct a 95% confidence interval for the proportion of student loans in default with a margin of error equal to 4% is _____ .

A) 389
B) 410
C) 365
D) 323