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 $\alpha = 0.01$ 1, 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 $\mu _ { d }$ , 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 $\alpha = 0.01$ 1, 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 < 2.624. C) Reject null hypothesis if test statistic > 2.602. D) Reject null hypothesis if test statistic > 2.977 or < -2.977.

Quizplus · Accepted Answer

The decision criterion for rejecting the null hypothesis is to find the critical value corresponding to a significance level of 0.01 and degrees of freedom 14 (n-1). This can be found using a t-distribution table or calculator, which gives a critical value of 2.624 for a one-tailed test. Therefore, we reject the null hypothesis if the test statistic (calculated from the sample data) is greater than 2.624.

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