14. High schools are embarking on drug testing of their students, particularly student-athletes in 2002, the U.S. Suprem

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14 High Schools Are Embarking On Drug Testing Of Their Students Particularly Student Athletes In 2002 The U S Suprem 1 (107.31 KiB) Viewed 70 times

14. High schools are embarking on drug testing of their students, particularly student-athletes in 2002, the U.S. Supreme Court ruled that the practice is legal). Moreover, parents may also be tempted to test their kids with newly available home drug screening kits to catch a drug-abuse problem early. The American Academy of Pediatrics says screening for illicit drugs is a complicated process prone to errors and cheating and has not been shown to curtail youngsters' drug use. In medicine, the probability of a true positive test is called the sensitivity of the test [= P(Positive Test|Drugs)]. The specificity of the test is the probability that a drug-free specimen will test negative, or the probability of a true negative, [specificity = P(Negative Test|NoDrugs)]. Assume that screening kits have a sensitivity of 85% and specificity of 99.8%. Assuming a school of 3000 students, with actual drug use of 15%, compute (a) The probability of getting a positive test in a student that actually uses drugs. (b) The probability of false-positive test.