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 $> 2.977$ or $< - 2.977$. D) Reject null hypothesis if test statistic $> 2.624$.

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.01$ and $n = 15$, the critical t-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