Asked by Nathan Papke on May 03, 2024
Verified
A study based on a sample of 13 participants calculates a value of 2.26 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(11) = 2.26, p < .05
B) t(12) = 2.26, p < .05
C) t(12) = 2.26, p < .01
D) t(13) = 2.26, p < .01
T-test
A statistical test used to compare the means of two groups to determine if they come from the same population.
Alpha
A predetermined threshold in hypothesis testing that defines the probability of making a Type I Error, usually set at 0.05, indicating a 5% risk of false positive.
- Judge the validity of the null hypothesis by interpreting p-values and comparison to alpha values.
- Comprehend the fitting strategy for revealing the results of a statistical study.
Verified Answer
ZK
Zybrea KnightMay 07, 2024
Final Answer :
B
Explanation :
The degree of freedom for a t-test is calculated by subtracting 1 from the sample size (n-1). Therefore, for a sample size of 13, the degree of freedom would be 13-1 = 12.
Option A is incorrect as the degree of freedom should be 12 instead of 11.
Option C is incorrect as the p-value is less than .05 (not < .01).
Option D is incorrect as the sample size is 13, not 12.
Therefore, the correct way to present this analysis is B: t(12) = 2.26, p < .05.
Option A is incorrect as the degree of freedom should be 12 instead of 11.
Option C is incorrect as the p-value is less than .05 (not < .01).
Option D is incorrect as the sample size is 13, not 12.
Therefore, the correct way to present this analysis is B: t(12) = 2.26, p < .05.
Learning Objectives
- Judge the validity of the null hypothesis by interpreting p-values and comparison to alpha values.
- Comprehend the fitting strategy for revealing the results of a statistical study.