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You recently concluded a paired t-test. Which of the following means that you found a 95%...

You recently concluded a paired t-test. Which of the following means that you found a 95% CI for µd of CI (-3.64, 1.23), and a p-value of .06.?

A.) The p-value is used to determine that we should not reject the null, because it is greater than .05, which shows there would be no difference between the means. Also, because 0 falls within our CI, 0 is a plausible value for µd and so we cannot reject the null.

B.) The p-value is used to determine that we should not reject the null, because it is greater than .05, which shows there would be no difference between the means. Also, because we did not reject the null, we do not need the CI.

C.) The p-value is used to reject the null, because it is greater than .05, which shows there would be no difference between the means. Also, because 0 falls within our CI, 0 is a plausible value for µd and so we reject the null.

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Answer #1

Here, 0 falls within the CI for \mu_d which suggest that the means are not significantly different. Also, since the p-value is greater than the alpha level of 0.05, we fail to reject the null hypothesis of no significant difference. Hence, our answer is: The p-value is used to determine that we should not reject the null, because it is greater than .05, which shows there would be no difference between the means. Also, because 0 falls within our CI, 0 is a plausible value for µd and so we cannot reject the null.

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