It was believed that a certain university was discriminating against women in its admissions policy because 30 percent of aJ] the male applicants to the university were admitted, whereas only 20 percent of all the female applicants were admitted. In order to determine which of the five colleges in the university were most responsible for this discrimination, the admissions rates for each college were analyzed separately. Surprisingly, it was found that in each college the proportion of female applicants who were admitted to the college was actually larger than the proportion of male applicants who were admitted. Discuss and explain this result.