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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 (circle 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.

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