A study of sexual bias in admissions was conducted by the Graduate Division at t

Question

A study of sexual bias in admissions was conducted by the Graduate Division at the Univer sity of California, Berkeley. Admissions results from the six largest majors are listed below (university policy does not allow the departments to be identified by name): Men Women Major Applicants Admitted Applicants Admitted 825 512 108 89 560 25 353 17 325 120 593 202 417 138 375 131 191 53 94 393 341 373 22 24 (a) From the table above, calculate the overall percentage of men and the overall percentage of women who were admitted (b) oes your answer from part (a) suggest sexual bias? If so, against whom? (c) Create a table listing the percentage of men and women who were admitted, broken down by department (d) Does the table you made in part (c) indicate sexual bias? If so, against whom? (e) Construct a weighted average of the percentage of male and female applicants who were admitted, controlling for the effect of department (i.e report one number for men and One number for women. (f) Does your answer from part (e) indicate sexual bias? If so, against whom? (g) The purpose of the study was to answer the question, "Were admissions biased on the basis of sex The analyses above indicate different answers to this question. Which of the analyses in (b), (d), and (f) do you feel best answers this question? Why?

Explanation / Answer

First we have to find the sum of all coloumns.

a) Percentage of men = 1198/2691 * 100 = 44.52%

Percentage of women=557/1835 *100 =30.35%

b)

yes, because here percentage of men is greater than the percentage of women.

c)

6%

7%

d)

Yes this sexual bias

men admitted women admitted 825 512 108 89 560 353 25 17 325 120 593 202 417 138 375 131 191 53 393 94 373 22 341 24 2691 1198 1835 557 sum

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