2. The University of California at Berkeley was charged with having discriminated against women in their graduate admissions process for the fall quarter of 1973. The table below identifies the number of acceptances and denials for both men and women applicants in each of the six largest graduate programs at the institution at that time. Program A Program B Program C Program D Program E Program F Total Men accepted Men denied Women accepted Women denied 511 314 352 208 120 205 137 270 53 138 22 351 89 17 202 132 95 24 19 8 391 243 298 317 a. Start by ignoring the program distinction, collapsing the data into a two-way table of gender by admission status. Admitted Denied Total Men Women Total Of the men who applied into one of the programs, what proportion were admitted? What proportion were denied? Program A Program B Program C Program D Program E Program F Of the women who applied to one of the programs, what proportion were admitted? What proportion were denied? P VE 27 Do these proportions seem to support the claim that men were given preferential 196 treatment in admission decisions? yes b. Compute the proportions of men admitted to each program and the proportions of women admitted to each program. Proportion of men admitted Proportion of women admitted 879 Does it seem as if any one program is responsible for the large discrepancy between men and women in the overall proportions admitted? Explain.

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Author:Amos Gilat
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Can you please answer the question below, including all parts in a and b. Thank you. 

2. The University of California at Berkeley was charged with having discriminated
against women in their graduate admissions process for the fall quarter of 1973. The
table below identifies the number of acceptances and denials for both men and women
applicants in each of the six largest graduate programs at the institution at that time.
Program A
Program B
Program C
Program D
Program E
Program F
Total
Men accepted Men denied Women accepted Women denied
511
314
352
208
120
137
2532
205
270
138
351
Program A
Program B
Program C
Program D
Program E
Program F
a. Start by ignoring the program distinction, collapsing the data into a two-way table of
gender by admission status.
Admitted Denied Total
TEME
111259
89
17
202
132
95
24
19
8
391
243
298
317
Men
Women
Total
Of the men who applied into one of the programs, what proportion were admitted?
What proportion were denied? Demoran
Of the women who applied to one of the programs, what proportion were admitted?
What proportion were denied? P
DE 272
Do these proportions seem to support the claim that men were given preferential
treatment in admission decisions?
b. Compute the proportions of men admitted to each program and the proportions of
women admitted to each program.
Proportion of men admitted
320/325
132/467
Proportion of women admitted
SAY
201
Does it seem as if any one program is responsible for the large discrepancy between
men and women in the overall proportions admitted? Explain.
No, Trecam
SCH
Transcribed Image Text:2. The University of California at Berkeley was charged with having discriminated against women in their graduate admissions process for the fall quarter of 1973. The table below identifies the number of acceptances and denials for both men and women applicants in each of the six largest graduate programs at the institution at that time. Program A Program B Program C Program D Program E Program F Total Men accepted Men denied Women accepted Women denied 511 314 352 208 120 137 2532 205 270 138 351 Program A Program B Program C Program D Program E Program F a. Start by ignoring the program distinction, collapsing the data into a two-way table of gender by admission status. Admitted Denied Total TEME 111259 89 17 202 132 95 24 19 8 391 243 298 317 Men Women Total Of the men who applied into one of the programs, what proportion were admitted? What proportion were denied? Demoran Of the women who applied to one of the programs, what proportion were admitted? What proportion were denied? P DE 272 Do these proportions seem to support the claim that men were given preferential treatment in admission decisions? b. Compute the proportions of men admitted to each program and the proportions of women admitted to each program. Proportion of men admitted 320/325 132/467 Proportion of women admitted SAY 201 Does it seem as if any one program is responsible for the large discrepancy between men and women in the overall proportions admitted? Explain. No, Trecam SCH
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