Answered: A case-control study is being planned…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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A case-control study is being planned to see whether proximity to a nuclear power plant is associated with the development of certain cancers. 200 cases and 200 controls will be recruited and the distance from the nearest nuclear power plant will be dichotomized as close (< 3 miles) or far (≥ 3 miles). Use SAS to complete each problem below. (a) It is believed that about 4% of controls live close to the plant and the OR that investigators would be interested in detecting is 3.5. Assuming that a 2-sided, 5% level test will be conducted, what power will the test have for detecting a significant association between cancer and proximity to the power plant? (b) If we still assume a 2-sided, 5% level test, the same exposure probability among controls, same OR, and equal numbers of cases and controls, what will the sample size need to be to have a power of 80%? (c) Since investigators find it very difficult to recruit cases, they decide to recruit three times as many controls as cases. How many cases and controls will they need to recruit in order to have 80% power? (Still assume a 2-sided, 5% level test, the same exposure probability among controls, and same OR.)

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