Determine the decision criterion for rejecting the nullhypothesis in the given h

Question

Determine the decision criterion for rejecting the nullhypothesis in the given hypothesis test; i.e., describe the valuesof the test statistic that would result in rejection of the nullhypothesis.

Suppose you wish to test the claim thatd, the mean value of the differences d for apopulation of paired data, is greater than 0. Given a sample of n =15 and a significance level of = 0.01, what criterion wouldbe used for rejecting the null hypothesis?



a. Reject null hypothesis if teststatistic < 2.624.

b. Reject null hypothesis iftest statistic > 2.624.

c. Reject null hypothesis iftest statistic > 2.602.

d. Reject null hypothesis iftest statistic > 2.977 or < -2.977.

Explanation / Answer

sample size, n = 15 degree of freedom, df = n-1 = 15-1 = 14 claim that d, the mean value of thedifferences d for a population of paired data, is greater than0. hence this is a one tail distribution test. hence for significance level of = 0.01, df = 14 and onetail distribution, critical statistics t =2.624         (from ttable) hence, correct answer is b. Reject null hypothesis if teststatistic > 2.624.

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