In: Statistics and Probability
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 8 of 133 athletes at Wahtonka and 27 of 115 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing.
(a) You should not use the large-sample confidence interval. Why
not?
Choose a reason.The sample sizes are too small.The sample sizes are
not identical.The sample proportions are too small.At least one
sample has too few failures.At least one sample has too few
successes.
(b) The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this?
Wahtonka sample size: Wahtonka drug
users:
Warrenton sample size: Warrenton drug users:
(c) Give the plus four 99.5% confidence interval for the
difference between the proportion of athletes using drugs at
schools with and without testing.
Interval: to
please show your work and what function to use on the calculator if any. Thank you!