Data on the acceptance rates for professional programs at a university were coll

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: From the table, it can be calculated that approximately 44% of male applicants were accepted, while 39% of female applicants were accepted. Similarly, the acceptance rates were calculated for both men and women for three of the university's professional programs and are summarized below. Which statement describes this data? The university is discriminating against women because the percentage of female applicants accepted into professional programs is smaller than the percentage of male applicants accepted into programs. The university is discriminating against men because, for each program, the percentage of male applicants accepted is smaller than the percentage of female applicants accepted. 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 males for each program yet smaller overall. The variable "program" might be a lurking variable since the percentage of female applicants accepted is smaller than that of males overall, but when the program is considered, there is a reversal in the association.

Explanation / Answer

Solution:

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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