Question

The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 75 students, 53 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 ( 0.571 , 0.8423 ), with 99% confidence. Which of the following is an appropriate interpretation of this confidence interval? Question 8 options:

1) We are certain that 99% of students will be between 0.571 and 0.8423.

2) We are 99% confident that the proportion of students surveyed who prefer outdoor exercise is between 0.571 and 0.8423.

3) We are 99% confident that the proportion of exercise time which the average student spends outdoors is between 0.571 and 0.8423.

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

5) We are 99% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.571 and 0.8423.

Answer 1

The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 75 students, 53 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 ( 0.571 , 0.8423 ), with 99% confidence.

Therefore an appropriate interpretation of this confidence interval is.....

Answer :-

2) We are 99% confident that the proportion of students surveyed who prefer outdoor exercise is between 0.571 and 0.8423.