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. The 99% confidence interval for p is 59 ± .09. Interpret this interval.
A) We are 99% confident that the true proportion of all students receiving financial aid is between .50 and .68.
B) 99% of the students receive between 50% and 68% of their tuition in financial aid.
C) We are 99% confident that between 50% and 68% of the sampled students receive some sort of financial aid.
D) We are 99% confident that 59% of the students are on some sort of financial aid.

Question

Quizplus · Accepted Answer

The 99% confidence interval suggests that we are 99% confident that the true proportion of all students receiving financial aid is between 0.50 and 0.68.

A University Dean Is Interested in Determining the Proportion of Students