Based on a simple random sample of 1560 college students, a 91% confidence inter

Question

Based on a simple random sample of 1560 college students, a 91% confidence interval for the percentage of students who receive financial aid is reported as 82.95% ±± 2.3%. Which of the following is/are correct interpretation(s) of this confidence interval?There may be more than one correct answer; you must check all correct answers in order to get credit for this problem.

A. There is a 91% probability that the true percentage of students who receive financial aid is between 80.65% and 85.25%.
B. The percentage of college students in the population of students who receive financial aid is between 80.65% and 85.25%.
C. In any simple random sample of 1560 college students from the population, there is a 91% probability that the percentage of students who receive financial aid in the sample is within 2.3% of the percentage of students who receive financial aid in the entire population.
D. If we select an individual from the population, there is a 91% probability that this individual is one of the of students who receive financial aid.
E. There is a 91% probability that the true percentage of students who receive financial aid is within 2.3% of 82.95%.
F. In 91% of all samples of size 1560 from this population, the percentage of students who receive financial aid is between 80.65% and 85.25%.

Explanation / Answer

Ans :

A. There is a 91% probability that the true percentage of students who receive financial aid is between 80.65% and 85.25%.

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