Asked by Clareese Stenzel on Jun 07, 2024
Verified
Imagine the value of a t-statistic is less than the critical value for α = .01 but greater than the critical value for α = .05. Which of the following is the MOST appropriate way to report the level of significance?
A) p < .01
B) p > .01
C) p > .05
D) p < .05
T-statistic
A type of statistic used in hypothesis testing, calculated as the difference between an observed sample mean and a hypothesized population mean, divided by the standard error of the mean.
Level of Significance
The level of significance is a threshold set by the researcher to determine the cutoff at which the null hypothesis can be rejected, commonly represented by alpha (α).
- Formulate a decision on the null hypothesis based on the analysis of p-values and their significance relative to alpha values.
- Interpret the critical levels of significance and what conclusions to draw from data with p < .01 and p < .05.
Verified Answer
MS
Madison SmithJun 10, 2024
Final Answer :
D
Explanation :
Since the t-statistic is greater than the critical value for α = .05, we can reject the null hypothesis at the .05 level of significance. Therefore, p < .05 is the appropriate way to report the level of significance. However, we cannot reject the null hypothesis at the .01 level of significance, so p > .01 and p > .05 are not valid choices.
Learning Objectives
- Formulate a decision on the null hypothesis based on the analysis of p-values and their significance relative to alpha values.
- Interpret the critical levels of significance and what conclusions to draw from data with p < .01 and p < .05.