A researcher tests the mean of a sample of 24 people and calculates a value of 1.98 for the t-statistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate? A) do not reject null (p .01) B) do not reject null (p .05) C) reject null (p .05)

Question

A researcher tests the mean of a sample of 24 people and calculates a value of 1.98 for the t-statistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate?
A) do not reject null (p > .01)
B) do not reject null (p > .05)
C) reject null (p < .05)
D) reject null (p > .05)

Quizplus · Accepted Answer

Given the t-statistic value of 1.98 and a sample size of 24 (which implies 23 degrees of freedom for a t-test), the p-value would be greater than .05 but less than .10 for a two-tailed test. Therefore, at an alpha level of .05, we do not have sufficient evidence to reject the null hypothesis, making option B the most appropriate decision.

A Researcher Tests the Mean of a Sample of 24