Question

Each year, more than 2 million people in the United States become infected with bacteria that...

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 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 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?

Do not reject H0. There is not a significant difference in drug resistance between the two states.

Do not reject H0. There is a significant difference in drug resistance between the two states.     

Reject H0. There is not a significant difference in drug resistance between the two states.

Reject H0. There is a significant difference in drug resistance between the two states.

Homework Answers

Answer #1

The statistical software output for this problem is:

Hence,

Hypotheses:

Ho: p1 = p2

Ha: p1 != p2

Test statistic = 2.73

p - Value = 0.0064

Conclusion: Reject H0. There is a significant difference in drug resistance between the two states.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Each year, more than 2 million people in the United States become infected with bacteria that...
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 205 cases tested in a certain state, 13 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...
Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager...
Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (14 of which defaulted) and 80 loans approved by Norm (9 of which defaulted). (a) State the hypothesis test that the default rates are the same for the...
Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager...
Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (21 of which defaulted) and 80 loans approved by Norm (17 of which defaulted). (a) State the hypothesis test that the default rates are the same for the...
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table...
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set    Carpeted Uncarpeted 7.9 7.2 11.6 4.6 6 5.4 8.5 9.9 10.7 6.9 8.2 6.7 8.6 13.7 10.8 8.5 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal...
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 488 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01. (a) State the null and alternate hypotheses. (Pick one) H0: p = 0.47;...
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1004 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses....
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1001 Chevrolet owners and found that 483 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses....
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1003 Chevrolet owners and found that 481 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses....
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1003 Chevrolet owners and found that 486 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses....
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five...
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table. State Observed Frequency California 255 Virginia 56 Washington 37 Florida...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT