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Reading 11: Hypothesis Testing - LOS a, (Part 3) ~ Q1-5

Q1. James Ambercrombie believes that the average return on equity in the utility industry, µ, is greater than 10%. What are the null (H0) and alternative (Ha) hypotheses for his study?

A)    H0: µ < 0.10 versus Ha: µ > 0.10.

B)    H0: µ ≤ 0.10 versus Ha: µ > 0.10.

C)    H0: µ > 0.10 versus Ha: µ < 0.10.

Q2. George Appleton believes that the average return on equity in the amusement industry, µ, is greater than 10%. What is the null (H0) and alternative (Ha) hypothesis for his study?

A)    H0: > 0.10 versus Ha: ≤ 0.10.

B)    H0: ≤ 0.10 versus Ha: > 0.10.

C)    H0: > 0.10 versus Ha: < 0.10.

Q3. Brian Ci believes that the average return on equity in the airline industry, µ, is less than 5%. What are the appropriate null (H0) and alternative (Ha) hypotheses to test this belief?

A)    H0: µ ≥ 0.05 versus Ha: µ < 0.05.

B)    H0: µ < 0.05 versus Ha: µ ≥ 0.05.

C)    H0: µ < 0.05 versus Ha: µ > 0.05.

Q4. Jill Woodall believes that the average return on equity in the retail industry, µ, is less than 15%. What are the null (H0) and alternative (Ha) hypotheses for her study?

A)   H0: µ ≤ 0.15 versus Ha: µ > 0.15.

B)   H0: µ ≥ 0.15 versus Ha: µ < 0.15.

C)   H0: µ < 0.15 versus Ha: µ ≥ 0.15.

Q5. Jo Su believes that there should be a negative relation between returns and systematic risk. She intends to collect data on returns and systematic risk to test this theory. What is the appropriate alternative hypothesis?

A)  Ha: ρ < 0.

B)  Ha: ρ > 0.

C)  Ha: ρ ≠ 0.

答案和详解如下:

Q1. James Ambercrombie believes that the average return on equity in the utility industry, µ, is greater than 10%. What are the null (H0) and alternative (Ha) hypotheses for his study?

A)    H0: µ < 0.10 versus Ha: µ > 0.10.

B)    H0: µ ≤ 0.10 versus Ha: µ > 0.10.

C)    H0: µ > 0.10 versus Ha: µ < 0.10.

Correct answer is B)

This is a one-sided alternative because of the "greater than" belief.

Q2. George Appleton believes that the average return on equity in the amusement industry, µ, is greater than 10%. What is the null (H0) and alternative (Ha) hypothesis for his study?

A)    H0: > 0.10 versus Ha: ≤ 0.10.

B)    H0: ≤ 0.10 versus Ha: > 0.10.

C)    H0: > 0.10 versus Ha: < 0.10.

Correct answer is B)

The alternative hypothesis is determined by the theory or the belief. The researcher specifies the null as the hypothesis that he wishes to reject (in favor of the alternative). Note that this is a one-sided alternative because of the "greater than" belief.

Q3. Brian Ci believes that the average return on equity in the airline industry, µ, is less than 5%. What are the appropriate null (H0) and alternative (Ha) hypotheses to test this belief?

A)    H0: µ ≥ 0.05 versus Ha: µ < 0.05.

B)    H0: µ < 0.05 versus Ha: µ ≥ 0.05.

C)    H0: µ < 0.05 versus Ha: µ > 0.05.

Correct answer is A)

The alternative hypothesis is determined by the theory or the belief. The researcher specifies the null as the hypothesis that he wishes to reject (in favor of the alternative). Note that this is a one-sided alternative because of the "less than" belief.

Q4. Jill Woodall believes that the average return on equity in the retail industry, µ, is less than 15%. What are the null (H0) and alternative (Ha) hypotheses for her study?

A)   H0: µ ≤ 0.15 versus Ha: µ > 0.15.

B)   H0: µ ≥ 0.15 versus Ha: µ < 0.15.

C)   H0: µ < 0.15 versus Ha: µ ≥ 0.15.

Correct answer is B)

This is a one-sided alternative because of the "less than" belief.

Q5. Jo Su believes that there should be a negative relation between returns and systematic risk. She intends to collect data on returns and systematic risk to test this theory. What is the appropriate alternative hypothesis?

A)  Ha: ρ < 0.

B)  Ha: ρ > 0.

C)  Ha: ρ ≠ 0.

Correct answer is A)

The alternative hypothesis is determined by the theory or the belief. The researcher specifies the null as the hypothesis that she wishes to reject (in favor of the alternative). The theory in this case is that the correlation is negative.

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Thanks

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看答案,谢谢LZ

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