A researcher tests the mean of a sample of 22 people and calculates a value of 1.81 for the t-statistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate? A) do not reject null (p .05) C) reject null (p .05)

Question

A researcher tests the mean of a sample of 22 people and calculates a value of 1.81 for the t-statistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate? A) do not reject null (p < .05) B) do not reject null (p > .05) C) reject null (p < .05) D) reject null (p > .05)

Quizplus · Accepted Answer

With a t-statistic of 1.81 and a sample size of 22, the degrees of freedom would be 21. For a two-tailed test at α = .05, the critical t-value would typically be higher than 1.81 (exact value depends on the t-distribution table). Since the calculated t-statistic does not exceed the critical value, the p-value would be greater than .05, leading to the decision not to reject the null hypothesis.

A Researcher Tests the Mean of a Sample of 22