Asked by The Gibson Family on Jul 15, 2024
Verified
For a sample of 20 participants, t = 2.500 (α= .05; two-tailed) , what would be the decision about the null hypothesis?
A) The null hypothesis could be neither rejected nor accepted.
B) The null hypothesis would not be rejected.
C) The null hypothesis would be rejected.
D) The null hypothesis would need to be retested.
T = 2.500
Indicates a test statistic value in hypothesis testing, suggesting the observed data is 2.500 standard deviations away from the mean under the null hypothesis.
- Understand the significance of hypothesis testing in statistical analysis.
Verified Answer
OL
Olivia LindseyJul 18, 2024
Final Answer :
C
Explanation :
The t-value of 2.500 is greater than the critical t-value at α = .05 and df = 19. Therefore, we reject the null hypothesis and conclude that there is a significant difference between the means.
Learning Objectives
- Understand the significance of hypothesis testing in statistical analysis.