Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis.
-Suppose you wish to test the claim that $\mu _ { \mathrm { d } }$ , the mean value of the differences $\mathrm { d }$ for a population of paired data, is greater than 0 . Given a sample of $\mathrm { n } = 15$ and a significance level of $\alpha = 0.01$ , what criterion would be used for rejecting the null hypothesis?

Question

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. -Suppose you wish to test the claim that $\mu _ { \mathrm { d } }$, the mean value of the differences $\mathrm { d }$ for a population of paired data, is greater than 0 . Given a sample of $\mathrm { n } = 15$ and a significance level of $\alpha = 0.01$, what criterion would be used for rejecting the null hypothesis? A) Reject null hypothesis if test statistic $> 2.624$. B) Reject null hypothesis if test statistic $> 2.602$. C) Reject null hypothesis if test statistic $< 2.624$. D) Reject null hypothesis if test statistic $> 2.977$ or $< - 2.977$.

Quizplus · Accepted Answer

For a one-tailed t-test with $ n - 1 = 14 $ degrees of freedom and $\alpha = 0.01$, the critical value is approximately 2.624. Thus, reject the null hypothesis if the test statistic is greater than 2.624.

Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given