Question

50. In a 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, which of the following is a valid statement about the approximate p-value?

A: It is greater than 0.05.

B: It is greater than 0.025.

C: It is between 0.01 and 0.025.

D: It is less than 0.01.

Answer 1

The calculated 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.

The observed value of F > 3.06 and it is also greater than F > 3.8, therefore the null hypothesis will be rejected at 5% and 2.5% level of significance.

But F < 4.89, therefore the null hypothesis will not be rejected at 1% level of significance.

Using the p-value approach we reject the null hypothesis when p-value < level of significance, and fail to reject the null hypothesis when p-value > level of significance.

So, the p-value for the above test should be less than 0.05 and 0.025 but must be greater than 0.01.

Therefore, option C is correct