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

question 24

Multiple Choice

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. We wish to compare the means of two populations using paired observations. Suppose that $\bar { d } = 3.125 , s _ { d } = 2.911 , \text { and } n = 8$ and that you wish to test the following hypothesis at the
10 % level of significance:
$H _ { 0 } : \mu _ { d } = 0 \text { against } H _ { 1 } : \mu _ { d } > 0$
What decision rule would you use?

• A) Reject \(H _ { 0 }\) if the test statistic is less than 1.415 .
• B) Reject \(H _ { 0 }\) if the test statistic is greater than -1.145 .
• C) Reject \(H _ { 0 }\) if the test statistic is greater than -1.145 or less than 1.415 .
• D) Reject \(H _ { 0 }\) if the test statistic is greater than 1.415 .