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 95% confidence interval for p is 59 ± .07. Interpret this interval.

A) We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
B) We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
C) 95% of the students receive between 52% and 66% of their tuition in financial aid.
D) We are 95% confident that 59% of the students are on some sort of financial aid.

Question

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 95% confidence interval for p is 59 ± .07. Interpret this interval.

A) We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
B) We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
C) 95% of the students receive between 52% and 66% of their tuition in financial aid.
D) We are 95% confident that 59% of the students are on some sort of financial aid.

Quizplus · Accepted Answer

The confidence interval suggests that we are 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66.

A University Dean Is Interested in Determining the Proportion of Students