[Step-by-Step] 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


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

  1. Find t. (Give your answer correct to two decimal places.)
    (ii) Find the p-value. (Give your answer correct to four decimal places.)
  2. 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.

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