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12. (8 points) A survey of 100 local high school seniors and 100 national high school seniors is conducted to see if the proportion of drug or alcohol use is higher locally than nationally. Locally, 58 seniors reported using drugs or alcohol within the past year, while 46 national seniors reported using them. Test at a = 0.05. a. State the random variables and the parameters in words. x, = the number of local high school seniors using drugs or alcohol. X, = p1 = the proportion of local high school seniors using drugs or alcohol. P, = b. State the null and alternative hypotheses and the level of significance. He: P1 = P2 a = c. State and check the assumptions for the hypothesis test. Random samples were taken. The conditions for the distribution are satisfied. nip1 = x1 = n191 = n1 - X1 = n2p2 = X2 = n2p2 = n2 - X2 = all are greater than 5 d. Find the test statistic and the p-value. Z= p-value = e. State the conclusion (reject or do not reject the null hypothesis). f. State the interpretation. There enough evidence to conclude that the proportion of local high school seniors using drugs or alcohol is locally than nationally