A campus newspaper is examining the extent to which various segments of the university community favor the Student Government Association's recommendation that the school make the transition from Division II to Division I NCAA football. A random sample of 100 students is chosen from each of the major colleges. Of persons surveyed from the College of Business, 47% favor the move.
Corresponding percentages for the College of Fine Arts, the College of Science and Technology, and the College of Humanities and Social Sciences are 62%, 45%, and 39%. At the 0.05 level, test whether the population percentages could be the same for students from these four colleges within the university.