The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 86 random students, 58 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) (−0.54426,0.80457) 2) (0.54426,0.80457) 3) (0.55687,0.79197) 4) (0.62389,0.72495) 5) (0.19543,0.45574)