Question

please help me solve all parts

5. We want to prove the proportion of athletes who use illegal drugs is less for high schools with drug testing than for high schools without drug testing. A sample of 135 athletes from high schools with drug testing gives 7 who use illegal drugs, and a random sample of 141 athletes from high schools without drug testing gives 27 who use illegal drugs. Use a = 0.05. a) (3 pts.) State the appropriate hypotheses. b) (5 pts.) State and calculate the appropriate test statistic. c) (4 pts.) Find or bound the p-value. d) (4 pts.) State the conclusion in terms of the original problem.

Answer 1

with drug testing without doug testing ha = 141 n = 135 x = 7 Xa - 27 27 7 135 ni na 147 = 0.052 ſo = x2 8, - p. 11 a.) The hull and alternative hypothesis are : Ho : P = P2 Haip, <P2 (Left tailed test) P(Po 10c 1) = Xi+tq 7+27 135+141 34 276 0123 nitha b.) Test statistic - Z (6, - ha ) 0 PP (1-P) (1 + 1 h 0.052-0191 =-3.5145 Z + 0:123(1-0)23) 0123(! (135 141 z = 3.51 Pavalue P(Z < Ztest) P(Z2-3.51) (using 2-table) Pavalue = CO002 <0:05 d) Decisions- Since P-value less than (2) significance cance level solwe Reject the Ho Conclusion:- There is sufficient evidence to claim that illegal drugs is less for high school with drug testing than for high school without drug testing.