In Testing $H _ { o }^{ \prime\prime} \mu _ { D } \leq 0 \text { versus } H _ { a } : \mu _ { D } > 0 \text {, where } \mu _ { D }$

Multiple Choice

In testing $H _ { o }^{ \prime\prime} \mu _ { D } \leq 0 \text { versus } H _ { a } : \mu _ { D } > 0 \text {, where } \mu _ { D }$ is the true mean difference in paired data consisting of 12 independent pairs, the sample mean $\bar { d }$ and sample standard deviation $s _ { D }$ are, respectively, 7.25 and 8.25. Which of the following statements are true?

A) The value of the test statistic is z = 3.04.
B) The P-value is .0013.
C) The P-value is .0026.
D) The null hypothesis is rejected at the .01 level.
E) The null hypothesis is rejected at the .005 level.