Drug testing in schools. In 2002 the Supreme Court ruled that schools couldrequire

Chapter 0, Problem 21.16

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Drug testing in schools. In 2002 the Supreme Court ruled that schools couldrequire random drug tests of students participating in competitive after-schoolactivities such as athletics. Does drug testing reduce use of illegal drugs? A studycompared two similar high schools in Oregon. Wahtonka High School testedathletes at random and Warrenton High School did not. In a confidential survey,7 of 135 athletes at Wahtonka and 27 of 141 athletes at Warrenton said they wereusing drugs.11 Regard these athletes as SRSs from the populations of athletes atsimilar schools with and without drug testing.(a) You should not use the large-sample confidence interval. Why not?(b) The plus four method adds two observations, a success and a failure, to eachsample. What are the sample sizes and the numbers of drug users after you do this?(c) Give the plus four 95% confidence interval for the difference between theproportion of athletes using drugs at schools with and without testing.

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