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.)
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
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F18e85592-8a78-4893-b4b0-e6c96c455373%2Fzlse5io_processed.jpeg&w=3840&q=75)
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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
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