The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 53 students, 37 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 (0.5745, 0.8217), with 95% confidence. Which of the following is an appropriate interpretation of this confidence interval?

1) We are 95% confident that the proportion of students surveyed who prefer outdoor exercise is between 0.5745 and 0.8217.

2) We are 95% confident that the proportion of exercise time which the average student spends outdoors is between 0.5745 and 0.8217.

3) We are 95% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.5745 and 0.8217.

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

5) We are certain that 95% of students will be between 0.5745 and 0.8217.