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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.

1 answer

t = -4.56

p-value = .0.0030

Reject the null hypothesis