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 is 0.590.07. Interpret this interval. A. It can be said that​ 95% of the students get between​ 52% and​ 66% of their tuition paid for by financial aid. B. One can be​ 95% confident that between​ 52% and​ 66% of the sampled students receive some sort of financial aid. C. One can be​ 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66. D. One can be​ 95% confident that​ 59% of the students are on some sort of financial aid.

Answer 1

C. One can be​ 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66

Explanation:

Given that the confidence interval is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.

This is represented in a situation where population means falls in between upper and lower intervals.

Hence, in this case, the correct interpretation is option C: One can be​ 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66