Asked by Alysha Brown on May 11, 2024
Verified
A study based on a sample of 13 participants calculates a value of 1.89 for the t-test for a single mean. For alpha (α) = .05 (two-tailed) , which of the following is the correct way to present this analysis?
A) t(12) = 1.89, p < .05
B) t(12) = 1.89, p > .05
C) t(13) = 1.89, p < .05
D) t(13) = 1.89, p > .01
T-test
A statistical test used to compare the mean of two groups to see if there is a significant difference between them.
Null Hypothesis
The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
Alpha
The threshold of probability at which the null hypothesis is rejected in statistical testing, often set at 0.05.
- Learn when it is proper to reject or maintain the null hypothesis by considering p-values and critical alpha levels.
- Determine the proper approach for reporting statistical analysis results.
Verified Answer
MP
Michelle PontoMay 13, 2024
Final Answer :
B
Explanation :
The degrees of freedom (df) for a t-test is calculated as the sample size minus one (n-1), which in this case is 13-1=12, hence the correct notation starts with t(12). Without knowing the exact critical value for this specific t-test, the statement "p > .05" is correct if the t-value of 1.89 does not exceed the critical t-value for α = .05 (two-tailed) with 12 degrees of freedom, implying the result is not statistically significant at the .05 level.
Learning Objectives
- Learn when it is proper to reject or maintain the null hypothesis by considering p-values and critical alpha levels.
- Determine the proper approach for reporting statistical analysis results.