Economists theorize that the recent recession has affected men more than women because men typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 160 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. a. Perform a hypothesis test using a = 0.05 to determine if the unemployment rate for men is higher than the rate for women. Let population 1 be men and population 2 be women. What are the correct null and alternative hypotheses? O B. Ho P1 - P2 <0 H4: P1 - P2 20 O D. Ho P1 - P2 =0 H,: P, - P2 #0 O A. Ho P1 -P2 #0 H: P1 -P2 =0 OC. Ho P1-P2 s0 H,: P, - P2 >0 What is the test statistic? (Round to two decimal places as needed.) What islare the critical value(s)? The critical value(s) is/are (Round to three decimal places as needed. Use a comma separate answers as needed.) Interpret the result. Choose the correct answer below. O A. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O B. Reject Ho- There is enough evidence to conclude that the unemployment rate is higher for men than women. OC. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. OD. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. b. Determine the p-value and interpret the results. p-value = (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O B. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. OC. Reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O D. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women.

Economists theorize that the recent recession has affected men more than women because men typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 160 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. a. Perform a hypothesis test using a = 0.05 to determine if the unemployment rate for men is higher than the rate for women. Let population 1 be men and population 2 be women. What are the correct null and alternative hypotheses? O B. Ho P1 - P2 <0 H4: P1 - P2 20 O D. Ho P1 - P2 =0 H,: P, - P2 #0 O A. Ho P1 -P2 #0 H: P1 -P2 =0 OC. Ho P1-P2 s0 H,: P, - P2 >0 What is the test statistic? (Round to two decimal places as needed.) What islare the critical value(s)? The critical value(s) is/are (Round to three decimal places as needed. Use a comma separate answers as needed.) Interpret the result. Choose the correct answer below. O A. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O B. Reject Ho- There is enough evidence to conclude that the unemployment rate is higher for men than women. OC. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. OD. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. b. Determine the p-value and interpret the results. p-value = (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O B. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. OC. Reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O D. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 82E

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