A well-known example of Simpsons Paradox, published by Bickel, Hammel, and OConnell (1975), and examined admission rates
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a. Combine the data for the two programs into one aggregate table. What percentage of all men who applied were admitted? What percentage of all women who applied were admitted? Which sex was more successful?
b. What percentage of the men who applied did Program A admit? What percentage of the women who applied did Program A admit? Repeat the question for Program B. Which sex was more successful in getting admitted to Program A? Program B?
c. Explain how this problem is an example of Simpson’s Paradox. Provide a potential explanation for the observed figures by guessing what type of programs A and B might have been. (Which program was easier to get ad mitted to overall? Which program interested men more? Which program interested women more?) For Exercises 30 to 32: Read News Story 13 in the Appendix and on the companion website, “3 factors key for drug use in kids.”
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