A hypothesis test with a sample of n = 20 participants produces a t statistic of

Question

A hypothesis test with a sample of n = 20 participants produces a t statistic of t = 2.63. Assuming a one-tailed test, what is the correct decision about the outcome of the test?

A. The researcher can reject the null hypothesis with = .05 but not with = .01. B. The researcher can reject the null hypothesis with = .01 but not with = .05. C. The researcher can reject the null hypothesis with either = .05 or = .01. D. The researcher must fail to reject the null hypothesis with either = .05 or = .01. E. It is impossible to make the decision without more information.

Explanation / Answer

Here n=20, t statistic=2.63

Using above data we will calculate p-value for one tailed. Using Excel function =TDIST(2.63,19,1) we will get 0.0083

P-value < 0.05 (or 0.01) we reject null hypothesis.

So correct option would be  C. The researcher can reject the null hypothesis with either = .05 or = .01.

Hope this will helpful you. Thanks

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