Question: Complete the hypothesis test with alternative hypothesis μd < 0 based on the paired data that follow and d = M - N. Use α = 0.02. Assume normality.

M 68 72 77 63 75 51

N 73 80 84 71 79 54

(a) Find t. (Give your answer correct to two decimal places.)

(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that μd < 0.

Reject the null hypothesis, there is not significant evidence that μd < 0.

Fail to reject the null hypothesis, there is significant evidence that μd < 0.

Fail to reject the null hypothesis, there is not significant evidence that μd < 0.