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.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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.)
%3D
State the null and alternative hypotheses. (Enter != for # as needed.)
Ho:
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?
O Reject H: There is a significant difference in drug resistance between the two states.
O Do not reject H. There is not a significant difference in drug resistance between the two states.
O Reject Ho: There is not a significant difference in drug resistance between the two states.
O Do not reject H. There is a significant difference in drug resistance between the two states.
411 PM
Transcribed Image Text:You may need 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.) %3D State the null and alternative hypotheses. (Enter != for # as needed.) Ho: 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? O Reject H: There is a significant difference in drug resistance between the two states. O Do not reject H. There is not a significant difference in drug resistance between the two states. O Reject Ho: There is not a significant difference in drug resistance between the two states. O Do not reject H. There is a significant difference in drug resistance between the two states. 411 PM
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