Asked by Lauren Chavis on Jul 14, 2024
Verified
For a sample of 12 participants, the t = 1.965 (α = .05; two-tailed) , what would be the decision about the Null hypothesis
A) The null hypothesis could neither be 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.
Null Hypothesis
A hypothesis that assumes no statistical significance exists in a set of given observations and that any observed difference is due to chance.
T = 1.965
A specific value often used in statistical analysis, particularly in hypothesis testing, where it represents a critical value in a t-distribution.
- Acknowledge the criticality of hypothesis testing for statistical analysis.
Verified Answer
EC
Emily ConleyJul 17, 2024
Final Answer :
B
Explanation :
The critical t-value for a two-tailed test with α = .05 and 11 degrees of freedom (df = n - 1 for a sample of 12) typically falls around 2.201. Since the calculated t-value of 1.965 is less than the critical value, there is not enough evidence to reject the null hypothesis.
Learning Objectives
- Acknowledge the criticality of hypothesis testing for statistical analysis.