A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
amine 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.
C. One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66
Step-by-step 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
