You are reading a report that contains a hypothesis test you are interested in.

Question

You are reading a report that contains a hypothesis test you are interested in. The writer of the report writes that the p-value for the test you are interested in is 0.091, but does not tell you the value of the test statistic. From this information you can: a You cannot decide based on this limited information. You need to know the value of the test statistic. b Not reject the hypothesis at a Probability of Type I error = 0.10, and not reject at a Probability of Type I error = 0.05 c Reject the hypothesis at a Probability of Type I error = 0.10, and reject at a Probability of Type I error = 0.05 d Reject the hypothesis at a Probability of Type I error = 0.10, but not reject at a Probability of Type I error = 0.05

Explanation / Answer

correct ans is d.

if p-value < alpha (prob of type I error) then reject H0 else donot reject.

0.091<0.1 so reject H0

but

0.091>0.05 so so not reject H0

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