Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: ______ Ha: ______ Find the value of the test statistic. (Round your answer to two decimal places.) = What is the p-value? (Round your answer to four decimal places.) p-value = What is your conclusion? (A) Do not reject H0. There is a significant difference in drug resistance between the two states. (B) Reject H0. There is not a significant difference in drug resistance between the two states. (C) Reject H0. There is a significant difference in drug resistance between the two states. (D) Do not reject H0. There is not a significant difference in drug resistance between the two states.
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.)
State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0: ______
Ha: ______
Find the value of the test statistic. (Round your answer to two decimal places.) =
What is the p-value? (Round your answer to four decimal places.)
p-value =
What is your conclusion?
(A) Do not reject H0. There is a significant difference in drug resistance between the two states.
(B) Reject H0. There is not a significant difference in drug resistance between the two states.
(C) Reject H0. There is a significant difference in drug resistance between the two states.
(D) Do not reject H0. There is not a significant difference in drug resistance between the two states.
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