Asked by Kendra Gorsline on Jun 03, 2024
Verified
Imagine the value of a t-statistic is greater than the critical value for α = .05 but less than the critical value for α = .01. Which of the following is the level of significance for this t-statistic?
A) p < .01 (but not < .05)
B) p > .01
C) p > .01 (but not < .05)
D) p < .05 (but not < .01)
T-statistic
A type of statistic used in hypothesis testing, calculated as the ratio of the departure of an estimated parameter from its hypothesized value to its standard error.
Critical Value
A threshold in hypothesis testing, which the test statistic must exceed to reject the null hypothesis.
Level of Significance
A threshold in hypothesis testing, below which the null hypothesis is rejected, commonly set at values like 0.05 or 0.01.
- Establish whether to reject or not the null hypothesis by the means of p-value evaluation and alpha thresholds.
- Interpret the significance levels and what p < .01 and p < .05 imply about the data.
Verified Answer
CF
Chealsea FerreraJun 09, 2024
Final Answer :
D
Explanation :
The t-statistic is significant at the .05 level (since it is greater than the critical value for α = .05), but not significant at the .01 level (since it is less than the critical value for α = .01). Therefore, the p-value must be between .01 and .05, so the correct choice is D.
Learning Objectives
- Establish whether to reject or not the null hypothesis by the means of p-value evaluation and alpha thresholds.
- Interpret the significance levels and what p < .01 and p < .05 imply about the data.