The following results are obtained using matched samples

Question

Consider the following competing hypotheses: Use Table 2.

 H₀: μ_D ≥ 0; H_A: μ_D < 0

a^- = -2.8, s_D = 5.7, n = 12 

The following results are obtained using matched samples from two normally distributed populations:

At the 5% significance level, find the critical value(s). (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

Calculate the value of the test statistic under the assumption that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

What is the conclusion to the hypothesis test?  

a. Reject H₀ since the value of the test statistic is less than the critical value.

b. Reject H₀ since the value of the test statistic is not less than the critical value.

c. Do not reject H₀ since the value of the test statistic is less than the critical value.

d. Do not reject H₀ since the value of the test statistic is not less than the critical value.