This is Chance strategy and choice problem 19.10

19.10 This is a simplified version of the U.C. Berkeley discrimination case leading to Simpson's paradox. The data for men and women applicants to the Departments of Sciences and Humanities are as follows: Sciences Humanities Men Women Men Women Applied 120 30 Applied 40 100 Accepted 90 25 Accepted 15 55 Evaluate the claims that (a) women are accepted to the university at a lower percentage than men and (b) women are accepted at a higher percentage in each division. Do you think that the data support a bias against women? Explain