A researcher conducts a repeated-measures study to evaluate a treatment with a s

Question

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using a = .05.

A. Reject the null hypothesis with a one-tailed test but fail to reject with two tails.

B. Reject the null hypothesis with either a one-tailed or a two-tailed test.

C. Fail to reject the null hypothesis with either a one-tailed or a two-tailed test.

D. Fail to reject the null hypothesis with a one-tailed test but reject with two tails.

Explanation / Answer

Correct Answer: A: Reject the null hypothesis with a one-tailed test but fail to reject with two tails.

Since

Given n = 16,

test statitic t = 1.94

The Critical Value of the test is t0 = 2.13145 at 5% los, 16-1 = 15df in two tail test

The Critical Value of the test is t0 = 1.75305 at 5% los, 16-1 = 15df in one tail test

Here test statitstic t = 1.94 < t0 = 2.13145, we accept H0   (two tail test)

and test statitstic t = 1.94 > t0 = 1.75305 , we reject H0 (one tail test)

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