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.t Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant. Suppose also that, of 375 cases tested in another state, 7 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 p, = the population proportion of drug-resistant cases in the first state, and let p, = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for # as needed.)

Question
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.t Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant. Suppose also that, of 375 cases tested in another
state, 7 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 p, = the population proportion of drug-resistant cases in the first state, and let p, = the population proportion of drug resistant cases in the second state.)
State the null and alternative hypotheses. (Enter != for # as needed.)
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Transcribed Image Text

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.t Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant. Suppose also that, of 375 cases tested in another state, 7 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 p, = the population proportion of drug-resistant cases in the first state, and let p, = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for # as needed.)

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