Asked by Karim Moukrem on May 12, 2024
Verified
A researcher tests the mean of a sample of 16 people and calculates a value of 2.42 for the t-statistic. For α = .05 (two-tailed) , which of the following is the MOST appropriate level of significance?
A) p < .05
B) p > .05
C) p < .01
D) p > .01
T-statistic
A type of statistic used in hypothesis testing, calculated to determine the significance of certain variables or differences between means.
Level of Significance
A threshold of probability set before a study to determine when an observed effect is considered statistically significant, typically denoted by alpha.
Alpha
In statistics, the significance level defined as the probability of rejecting the null hypothesis when it is true.
- Identify the correct decision in light of the t-statistic and alpha level.
Verified Answer
SS
Sreynith SophaMay 17, 2024
Final Answer :
A
Explanation :
Given a t-statistic of 2.42 with a sample size of 16 (implying 15 degrees of freedom for a two-tailed test at α = .05), the p-value would be less than .05, indicating that the result is statistically significant at the .05 level but not necessarily at the .01 level.
Learning Objectives
- Identify the correct decision in light of the t-statistic and alpha level.