Question

Suppose we are comparing two populations to see if they have the same mean. A sample...

Suppose we are comparing two populations to see if they have the same mean. A sample from each population is taken and the difference in means was 12. Suppose a test of the hypothesis that the difference is zero has a p-value of 0.0156. Which of the following are true statements (list all that are true): a. The two-sided 99% confidence interval includes zero. b. The one-sided 99% confidence interval includes zero. c. The hypothesis that they are equal would be rejected at a 95% confidence level against the alternative that they are not. d. The hypothesis that they are equal would be rejected at a 99% confidence level against the alternative that they are not.

Homework Answers

Answer #1

a. The two-sided 99% confidence interval includes zero.

Answer: True

It is true because p-value = 0.0156 is greater than corresponding alpha value 0.01.

b. The one-sided 99% confidence interval includes zero.

Answer: False

It is false because corresponding p-value would be half of 0.0156 which will be less than alpha value 0.01.

c. The hypothesis that they are equal would be rejected at a 95% confidence level against the alternative that they are not.

Answer: True

It is true because p-value = 0.0156 will be less than corresponding alpha value 0.05.

d. The hypothesis that they are equal would be rejected at a 99% confidence level against the alternative that they are not.

Answer: False

...because p-value will be less than 0.01.

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