Mountain View university Has professional schools in busines

Mountain View university Has professional schools in business and law. Here are two-way tables of applicants to these schools, categorized by gender, school, and admission decision

Tables 2 Business | Law |

Gender| Yes| No| Yes| No|

Males| 400 | 310| 90 | 110|

Female| 200 | 100| 200| 200|

When you combine the professional schools by summing the entries in the tables we have the following two-way table for the combined schools

Table 3 Gender | Yes | No |

Male | 490 | 310 |

Female | 400 | 300 |

a) from table 3, compute the percent of male applicants admitted and the percent of female applicants admitted.

b) from table 2, compute the percent of male applicants admitted by the business school, and the percent of male applicants admitted by the law school

c) from table 2, compute the percent of female applicants admitted by the business school, and the percent of female applicants admitted by law school

d) explain how it can happen that mountain view appears to favor males when this is not true within each of the professional schools

Solution

percent of male applicants admitted = (No. of male applicants/Total no. of male applicants)*100

= (490)/(490 + 310) = 61.25

percent of female applicants admitted = (No. of female applicants/Total no. of female applicants)*100

= 400/700 * 100 = 57.14

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b)

percent of male applicants admitted by the business school = 400/710 * 100 = 56.34

percent of male applicants admitted by the law school = 90/200 = 45

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c)

percent of female applicants admitted by the business school = 200/300 = 66.67

percent of female applicants admitted by law school = 200/400 = 50

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d) It may happen that some of the male candidates have applied for both Business and law simultaneously.

Number of such applications = 310 + 110 - 310 = 110.