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A study of admission rates of men and women into graduate programs for several majors at a certain university was conducted. The study found that overall a higher percentage of men were admitted than women. However, when looking at each major program separately it was found that the rate of admission for women was higher than that for men.Which of the following statements is true? Check all that apply. This is an example of Simpson’s paradox. This is an example of a negative association between variables. “Type of major” may be a lurking variable in this study. This situation is mathematically impossible.

Question

A study of admission rates of men and women into graduate programs for several majors at a certain university was conducted. The study found that overall a higher percentage of men were admitted than women. However, when looking at each major program separately it was found that the rate of admission for women was higher than that for men.Which of the following statements is true? Check all that apply. This is an example of Simpson’s paradox. This is an example of a negative association between variables. “Type of major” may be a lurking variable in this study. This situation is mathematically impossible.

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Solution

This situation is an example of Simpson's paradox. "Type of major" may be a lurking variable in this study.

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A study was done on the graduation rates (graduate in 4 years versus did not graduate) from two universities: Mode College and Median University. Data were collected for the year 2012 in a variety of majors, and it was found that Mode College does better overall (i.e., has a higher percentage of students who graduate in 4 years). However, in each of the majors separately, Median University does better.Which of the following is true? Check all that apply.This is an example of Simpson's paradox.This is an example of a negative association between variables.This situation is mathematically impossible.“Type of major” could be a lurking variable in this example.

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