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 $\mu _ { d }$ the mean value of the differences d for a population of paired data, is greater than 0 . Given a sample of 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 2.602 . C) Reject null hypothesis if test statistic 2.624 . D) Reject null hypothesis if test statistic 2.977 or

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 $\mu _ { d }$ the mean value of the differences d for a population of paired data, is greater than 0 . Given a sample of 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

The criterion for rejecting the null hypothesis in a one-tailed test (right-tailed, since we're testing if the mean is greater than 0) with a significance level of 0.01 and a sample size of 15 (degrees of freedom = 14) involves comparing the test statistic to a critical value from the t-distribution table. Choice C correctly identifies the critical value (>2.624) for a one-tailed test at the 0.01 significance level for 14 degrees of freedom.

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