Consider the following ANOVA table.
The null hypothesis is to be tested at the 1% level of significance. The null hypothesis should
A) be rejected.
B) not be rejected.
C) be revised.
D) not be tested.

Question

Consider the following ANOVA table. ​  ​
The null hypothesis is to be tested at the 1% level of significance. The null hypothesis should
A) be rejected. 
B) not be rejected. 
C) be revised. 
D) not be tested.

Quizplus · Accepted Answer

The ANOVA table does not provide the p-value or F-statistic, so it is not possible to directly determine whether the null hypothesis should be rejected. However, the fact that the mean square error (MSE) is relatively small compared to the mean square treatment (MST) suggests that there is not a large amount of variation between the groups. This makes it less likely that the null hypothesis, which states that the group means are equal, should be rejected. Additionally, since the significance level is set at 1%, a more conservative approach should be taken, and the null hypothesis should not be rejected unless the evidence strongly supports it. Therefore, the best choice is B: the null hypothesis should not be rejected.

Consider the Following ANOVA Table. ​ ​

Consider the Following ANOVA Table.