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 different from 0 . Given a sample of $\mathrm { n } = 23$ and a significance level of $\alpha = 0.05$ , 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 different from 0 . Given a sample of $\mathrm { n } = 23$ and a significance level of $\alpha = 0.05$, what criterion would be used for rejecting the null hypothesis? A) Reject null hypothesis if test statistic $> 2.074$ or $< - 2.074$. B) Reject null hypothesis if test statistic $> 2.069$ or $< - 2.069$. C) Reject null hypothesis if test statistic $> 1.717$ or $< - 1.717$. D) Reject null hypothesis if test statistic $> 1.717$.

Quizplus · Accepted Answer

For a two-tailed test with $n = 23$ and $\alpha = 0.05$, the critical t-value from the t-distribution table with $df = 22$ is approximately $\pm 2.074$.

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