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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.

Question

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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Solution

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

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