Complete the hypothesis test with alternative hypothesis ?d < 0 based on the paired data that follow and d = M - N. Use ? = 0.02. Assume normality.
| M |
56 |
77 |
66 |
46 |
49 |
67 |
| N |
58 |
78 |
67 |
49 |
51 |
69 |
(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 ?d < 0.
Reject the null hypothesis, there is not significant evidence that ?d < 0.
Fail to reject the null hypothesis, there is significant evidence that ?d < 0.
Fail to reject the null hypothesis, there is not significant evidence that ?d < 0.