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 221 cases tested in a certain state, 14 were found to be drug-resistant. Suppose also that, of 322 cases tested in another state, 6 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.) 1) State the null and alternative hypotheses. (Enter != for ≠ as needed.) 2) What is the test statistic & P-value? 3) what is the conclusion? A) 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) Do not reject H0. There is not a significant difference in drug resistance between the two states. D) Do not reject H0. There is 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 221 cases tested in a certain state, 14 were found to be drug-resistant. Suppose also that, of 322 cases tested in another state, 6 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.)
1) State the null and alternative hypotheses. (Enter != for ≠ as needed.)
2) What is the test statistic & P-value?
3) what is the conclusion?
A) 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) Do not reject H0. There is not a significant difference in drug resistance between the two states.
D) Do not reject H0. There is a significant difference in drug resistance between the two states.
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