Question

33.  A researcher obtains t = 2.35 for a repeated-measures study using a sample of

n = 8 participants.  Based on this t value, what is the correct decision for a two-tailed test?

a.  reject the null hypothesis with α = .05 but not with α = .01

b.  reject the null hypothesis with either α = .05 or α = .01

c. fail to reject the null hypothesis with either α = .05 or α = .01

d.  cannot make a decision without additional information  

The answer is c. could you please write out every step and why. If you are looking at a chart, could you please tell me what you are looking at. Please include formula as well. If you do not get C as the answer, please do not respond to this question. Do not use excel for this, I need to know how to do it by hand.

Answer 1

t = 2.35

n = 8

For a t- test, df = n - 1 = 8 - 1 = 7

Now, you need to consult a table of critical values of t- distribution and look against df = 7 and α = 0.05 (5% significance level) for two-tailed test.

You can see that the value given there is 2.3645. Similarly against α = 0.01 (1% significance level), the value given is 3.499.

Now, our t- value is 2.35, which is lesser than both the above values. That means, we are not in the critical region. So, we fail to reject the null hypothesis for both α = 0.05 and α = 0.01.

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