A researcher is using an independent-measures design to compare two treatment co

Question

A researcher is using an independent-measures design to compare two treatment conditions with n = 8 participants in each treatment, and the results are evaluated using a two-tailed hypothesis test with = .05.

a. What is the critical value for t?

b. If a t statistic of t = 1.83 was obtained from the analysis, is this sufficient to reject the null hypothesis? Explain.

c. If a one-tailed hypothesis test was used instead of a two-tailed test, would t = 1.83 be sufficient to reject null hypothesis ( = .05)? Explain.

Explanation / Answer

(a) Df = 8 + 8 - 2 = 14, = 0.05

Critical t- value for 2-tailed test = ± 2.145

(b) No (since 1.83 < 2.145)

(c) In this case, p- value = 0.0443

Yes (since 0.0443 < 0.05)

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