Question

In: Statistics and Probability

(1 point) In 2002 the Supreme Court ruled that schools could require random drug tests of...

(1 point) 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, 4 of 131 athletes at Wahtonka and 20 of 114 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? (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 90% confidence interval for the difference between the proportion of athletes using drugs at schools with and without testing. Interval: to

Solutions

Expert Solution

a)

You should not use the large-sample confidence interval because at least one sample has too few success

b)

sample #1   ----->   Wahtonka
sample size,     n1=   133
wanhotka drug user=     x1=   5
proportion success of sample 1 , p̂1=   x1/n1=   0.0376
      
sample #2   ----->   Warrenton
second sample size,     n2 =    116
warrenton drug user, x2 =    21
proportion success of sample 1 , p̂ 2=   x2/n2 =    0.1810

c)

level of significance, α =   0.10              
Z critical value =   Z α/2 =    1.645   [excel function: =normsinv(α/2)      
                  
Std error , SE =    SQRT(p̂1 * (1 - p̂1)/n1 + p̂2 * (1-p̂2)/n2) =     0.0394          
margin of error , E = Z*SE =    1.645   *   0.0394   =   0.0648
                  
confidence interval is                   
lower limit = (p̂1 - p̂2) - E =    -0.143   -   0.0648   =   -0.2082
upper limit = (p̂1 - p̂2) + E =    -0.143   +   0.0648   =   -0.0787
                  
so, confidence interval is (   -0.2082   < p1 - p2 <   -0.0787   )  

orchestra answered 1 year ago
Next > < Previous

Related Solutions

) In 2002 the Supreme Court ruled that schools could require random drug tests of students...
) 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 132 athletes at Wahtonka and 29 of 111 athletes at Warrenton said they were using drugs. Regard these athletes as...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
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, 7 of 135 athletes at Wahtonka and 27 of 141 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
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 132 athletes at Wahtonka and 29 of 111 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
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...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
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...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
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, 5 of 140 athletes at Wahtonka and 25 of 102 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs...
Which of these was likely a problem with Obamacare? a. The Supreme Court ruled the individual...
Which of these was likely a problem with Obamacare? a. The Supreme Court ruled the individual mandate unconstitutional. b. The mandate is fairly weak, so some people will choose to not buy insurance. c. Zero states have agreed to do the Medicaid expansion. d. The law requires all employers to provide health insurance.
On June 23, 2014 – in its Hobby Lobby decision – the Supreme Court ruled that...
On June 23, 2014 – in its Hobby Lobby decision – the Supreme Court ruled that requiring privately-owned corporations to pay for insurance coverage for contraception under the Affordable Care Act violated a federal law protecting religious freedom. Please defend or refute the following statement: 5A. The recent US Supreme Court Hobby Lobby decision curtailing the availability of employer provided health insurance covering contraceptives – which are also prescribed for medical reasons other than preventing pregnancy – is a clear...
A supreme court from a certain region recently ruled that employees can be tested for drugs...
A supreme court from a certain region recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. An article in a certain magazine focused on the misclassification rates of such drug tests. A false positive occurs when a drug test administered to a​ non-drug user yields a positive result. A false negative occurs when a drug test administered to a drug user yields a negative result. Complete parts a and b....
14 ) In U.S. Term Limits v Thornton, the Supreme Court ruled that the age, residency,...
14 ) In U.S. Term Limits v Thornton, the Supreme Court ruled that the age, residency, and citizenship requirements set forth in the Constitution were a complete statement of Congressional eligibility standards and that the only way to add any eligibility requirements would be through a constitutional amendment. True or False 15) Each state is given a number of Electoral College votes equal to its combined number of seats in the U.S. House of Representatives and the Senate. True or...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT