Data on the acceptance rates for professional programs at a university were coll
ID: 3124964 • Letter: D
Question
Data on the acceptance rates for professional programs at a university were collected over a five-year period. The results are summarized in the following two-way table.
Num.
Accepted
Num Not
Accepted
From the table, it can be calculated that approximately 44% of the male applicants were accepted, while 39% of the female applicants were accepted. Similary, the acceptance rates were calculated for both men and women for three of teh university's professional programs and are summarized below.
precented
accepted
Percent
Not accepted
Total
Which statement describes this data?
a. There has been an error in the data collection since it is impossible for the percentage of female applicants accepted to be larger than that of the males for each program yet smaller overall.
b. The university is discriminating against women because the percentage of female applicant accepted into professional programs is smaller than the percentage of male applicants accepted into programs.
c. The university is discriminating against men because for each program, the percentage of male applicants accpeted is smaller than the percentage of female applicants accepted.
d. The variable "program" might be a lurking variable since the percentage of female applicants accpeted is smaller than that of males overall, but when the program is considered, there is a reversal in the association.
Num.
Accepted
Num Not
Accepted
Total Men 625 807 1432 Women 650 1017 1667Explanation / Answer
d. The variable "program" might be a lurking variable since the percentage of female applicants accpeted is smaller than that of males overall, but when the program is considered, there is a reversal in the association.
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