Asked by Makayla Caplinger on Apr 24, 2024
Verified
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)
T-statistic
A statistical measure used to analyze the difference between two group means in relation to the variance observed within the groups.
Alpha
Alpha, often represented as α, is the threshold probability of committing a Type I Error, typically set at 0.05 or 5% in hypothesis testing.
- Evaluate whether to proceed with rejecting or not rejecting the null hypothesis upon reviewing p-values and alpha criteria.
Verified Answer
GS
Gagandeep Singh5 days ago
Final Answer :
B
Explanation :
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.
Learning Objectives
- Evaluate whether to proceed with rejecting or not rejecting the null hypothesis upon reviewing p-values and alpha criteria.