Question

The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 68 students, 49 indicated that they preferred outdoor exercise over exercising in a gym. They estimated the proportion of students at the university who prefer outdoor exercise as ( 0.6139 , 0.8272 ), with 95% confidence. Which of the following is an appropriate interpretation of this confidence interval?
1) We are 95% confident that the proportion of exercise time which the average student spends outdoors is between 0.6139 and 0.8272.

2) We are certain that 95% of students will be between 0.6139 and 0.8272.

3) We are 95% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.6139 and 0.8272.

4) We are 95% confident that the proportion of students surveyed who prefer outdoor exercise is between 0.6139 and 0.8272.

5) We cannot determine the proper interpretation of this interval.

Answer 1

Answer:

3) We are 95% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.6139 and 0.8272.