Discrimination? Wabash Tech has two professional schools, business and law.Here are

Chapter 0, Problem 6.32

(choose chapter or problem)

Discrimination? Wabash Tech has two professional schools, business and law.Here are two-way tables of applicants to both schools, categorized by gender andadmission decision. (Although these data are made up, similar situations occur inreality.)15Business LawAdmit Deny Admit DenyMale 480 120 Male 10 90Female 180 20 Female 100 200(a) Make a two-way table of gender by admission decision for the twoprofessional schools together by summing entries in these tables.(b) From the two-way table, calculate the percent of male applicants who areadmitted and the percent of female applicants who are admitted. Wabash admitsa higher percent of male applicants.(c) Now compute separately the percents of male and female applicants admittedby the business school and by the law school. Each school admits a higher percentof female applicants. (d) This is Simpsons paradox: both schools admit a higher percent of the womenwho apply, but overall Wabash admits a lower percent of female applicants thanof male applicants. Explain carefully, as if speaking to a skeptical reporter, how itcan happen that Wabash appears to favor males when each school individuallyfavors females.