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.