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

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 $\overline { \mathrm { d } } = 3.125$ , $\mathrm { S } _ { \mathrm { d } } = 2.911$ , and $\mathrm { n } = 8$ , and that you wish to test the following hypothesis at the $10 \%$ level of significance:
$\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0$ against $\mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } > 0$ What decision rule would you use?

A) Reject $\mathrm { H } _ { 0 }$ if test statistic is less than $1.415$ .
B) Reject $\mathrm { H } _ { 0 }$ if test statistic is greater than $- 1.415$ and less than $1.415$ .
C) Reject $\mathrm { H } _ { 0 }$ if test statistic is greater than $- 1.415$ .
D) Reject $\mathrm { H } _ { 0 }$ if test statistic is greater than $1.415$ .