A hypothesis test with a sample of n = 25 participants produces a t statistic of t = + 2.53. Assuming a one-tailed test with the critical region in the right-hand tail, what is the correct decision? (A) The researcher can reject the null hypothesis with a =.05 but not with a =.01. (B) The researcher can reject the null hypothesis with either a =.05 or a =.01. (C) The researcher must fail to reject the null hypothesis with either a =.05 or a =.01. (D) It is impossible to make a decision about H0 without more information.

Question

Jaelyn Williams

Mathematics

29 August, 15:40

A hypothesis test with a sample of n = 25 participants produces a t statistic of t = + 2.53. Assuming a one-tailed test with the critical region in the right-hand tail, what is the correct decision? (A) The researcher can reject the null hypothesis with a =.05 but not with a =.01. (B) The researcher can reject the null hypothesis with either a =.05 or a =.01. (C) The researcher must fail to reject the null hypothesis with either a =.05 or a =.01. (D) It is impossible to make a decision about H0 without more information.

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Answers (1)

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Paityn Giles · Answer 1

Option B is right.

Step-by-step explanation:

Given that a hypothesis test with a sample of n = 25 participants produces a t statistic of t = + 2.53.

df = 24

p value = 0.009191

Since p value is less than 0.01, we reject null hypothesis at 1%, 5% and 10% significance level.

(B) The researcher can reject the null hypothesis with either a =.05 or a =.01