Ap Statistics Worksheets With Answers Page 19
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23HW #26 59, 61, 70
4.59 MAJORS FOR MEN AND WOMEN IN BUSINESS A study of the career plans of young
women and men sent questionnaires to all 722 members of the senior class in the College of Business
Administration at the University of Illinois. One question asked which major within the business
program the student had chosen. Here are the data from the students who responded:
Female
Male
Accounting
68
56
Administration
91
40
Economics
5
6
Finance
61
59
(a) Find the two conditional distributions of major, one for women and one for men. Based on your
calculations, describe the differences between women and men with a graph and in words.
Use column percentages (68/225 = 30.2% of females are in accounting, etc.) The biggest
difference between women and men is in Administration, a higher percentage of women chose
this major. Meanwhile a greater proportion of men chose other fields, especially finance.
(b) What percent of the students did not respond to the questionnaire? The nonresponse weakens
conclusions drawn from these data.
There were 386 responses; 336/722 = 46.5% did not respond.
4.61 RACE AND THE DEATH PENALTY Whether a convicted murderer gets the death penalty
seems to be influenced by the race of the victim. Here are data on 326 cases in which the defendant
was convicted of murder:
White defendant
Black defendant
White victim
Black victim
White victim
Black victim
Death
19
0
Death
11
6
Not
132
9
Not
52
97
(a) Use these data to make a two-way table of defendant’s race (white or black) versus death penalty
(yes or no).
Black
White
Death
17
19
Not
149
141
(b) Show that Simpson’s paradox holds: a higher percentage of white defendants are sentenced to
death overall, but for both black and white victims a higher percent of black defendants are sentenced
to death.
Overall, 11.9% of white defendants and 10.2% of black defendants get the
death penalty. However, for white victims, the percentages are 12.6% and 17.5% (respectively);
when the victim is black, they are 0% and 5.8%.
19
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