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

question 42

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
-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 \(> 2.624\).

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