A statistician performs the test H0: = 15 versus H1: 15, and finds the p-value t

ID: 2916284 • Letter: A

Question

A statistician performs the test H0: = 15 versus H1: 15, and finds the p-value to be 0.4546.

(from [Mann 2007])

a. The statistician performing thetest does not tell you the value of the sample mean and

the value of the test statistic. Despite this, you haveenough information to determine

the pair of p-values associated with the following alternativehypotheses.

i. H1: < 15

iI. H1: > 15

Note that you will need more information to determine which p-valuegoes with which

alternative. Determine the pair of p-values. Here thevalue of the sample mean is the

same in both cases.

b. Suppose the statistician tells youthat the value of the test statistic is negative. Match

the p-values with the alternative hypotheses.

(a) 2*(p-value)=0.4546 (two-tailed test)--> P-value=0.4546/2=0.2273(one-tailed test) (b)2*(P-value)=0.4546

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