5 For each department compute the proportion of all applican

5. For each department, compute the proportion of all applicants who arc accepted. 6. For each department. compute the proportion of all applicants who are men. 7. In general, do the departments with the higher acceptance 25 26 s tend to have the higher proportions of male applicants?

Solution

5. Proportion of accepted applicants:

Department A = 601/933 = 0.6442

Department B = 370/585 = 0.6325

Department C = 322/918 = 0.3508

Department D = 269/792 = 0.3396

Department E = 147/584 = 0.2517

Department F = 46/714 = 0.0644

6. Proportion of male applicants:

Department A = 825/933 = 0.8842

Department B = 560/585 = 0.9573

Department C = 325/918 = 0.3540

Department D = 417/792 = 0.5265

Department E = 191/584 = 0.3271

Department F = 373/714 = 0.5224

7. Department A and B, which have high acceptance proportions, also have higher proportions of male applicants