In one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F 3.06 for the 5% level of significance, F 3.8 for the 2.5% level, and F 4.89 for the 1% level. For this test, the approximate p-value is:
A) greater than 0.05
B) between 0.025 and 0.05
C) between 0.01 and 0.025
D) approximately 0.05
E) approximately 0.01

Question

In one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F > 3.06 for the 5% level of significance, F > 3.8 for the 2.5% level, and F > 4.89 for the 1% level. For this test, the approximate p-value is:
A) greater than 0.05
B) between 0.025 and 0.05
C) between 0.01 and 0.025
D) approximately 0.05
E) approximately 0.01

Quizplus · Accepted Answer

The approximate p-value can be found by comparing the test statistic F = 4.25 to the critical values for the rejection regions. Since F > 4.89 for the 1% level, we can conclude that the p-value is less than 0.01. Since F < 3.8 for the 2.5% level, we can conclude that the p-value is greater than 0.025. Therefore, the best choice is C, between 0.01 and 0.025.

In One-Way ANOVA Test, the Test Statistic Is F =