Asked by Savon Simmons on May 11, 2024
Verified
If the value of the t-statistic calculated from a set of data ______ the critical value, you would say ______.
A) exceeds; p < .05
B) exceeds; p > .05
C) does not exceed; p < .05
D) does not exceed; p < .01
T-statistic
A statistic calculated from a dataset to compare the mean of the data to a hypothetical mean as part of a t-test.
Critical Value
The boundary value from a statistical distribution where, if the observed test statistic is beyond this point, the null hypothesis is rejected.
Null Hypothesis
A default statement suggesting that there is no statistical significance between the specified datasets, or no effect of a certain variable.
- Clarify the position on the null hypothesis using p-values and their comparison to expected alpha significance levels.
- Understand the relationship between the t-statistic value, critical values, and decision-making in hypothesis testing.
Verified Answer
KS
Kellie ShaughnessMay 18, 2024
Final Answer :
A
Explanation :
If the value of the t-statistic calculated from a set of data exceeds the critical value, then we reject the null hypothesis and accept the alternative hypothesis at the 0.05 significance level, which is represented by p < .05.
Learning Objectives
- Clarify the position on the null hypothesis using p-values and their comparison to expected alpha significance levels.
- Understand the relationship between the t-statistic value, critical values, and decision-making in hypothesis testing.