In a study published in Communication Research, researchers studied differences in how male and female college students played video games. Of the 313 female college students surveyed, 171 played video games. Calculate a 99% confidence interval for the proportion of all female college students who played video games.
(0.500, 0.593)
(0.474, 0.618)
(0.491, 0.601)
(0.518, 0.574)
