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Complete the hypothesis test with alternative hypothesis ìd < 0 based on the paired data that follow and d = M - N. Use á = 0.02. Assume normality.
M 48 47 67 79 73 66
N 52 55 68 87 78 70
(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 ìd < 0.
Reject the null hypothesis, there is not significant evidence that ìd < 0.
Fail to reject the null hypothesis, there is significant evidence that ìd<0.
Fail to reject the null hypothesis, there is not significant evidence that ìd < 0.