The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 62 students, 39 indicated that they preferred outdoor exercise over exercising in a gym. The 99% confidence interval estimating the proportion of all students at the university who prefer outdoor exercise is given by which of the following?

1) ( -0.47101 , 0.78706 )

2) ( 0.21294 , 0.52899 )

3) ( 0.56768 , 0.69038 )

4) ( 0.47101 , 0.78706 )

5) ( 0.48631 , 0.77175 )