What is the decision at a 0.05 level of significance for each of the following tests? F(3, 26) = 3.00 Retain or reject the null hypothesis? F(4, 55) =

Tobias Ali

Tobias Ali

Answered question

2021-01-24

What is the decision at a 0.05 level of significance for each of the following tests?
F(3, 26) = 3.00
Retain or reject the null hypothesis?
F(4, 55) = 2.54
Retain or reject the null hypothesis?
F(4, 30) = 2.72
Retain or reject the null hypothesis?
F(2, 12) = 3.81
Retain or reject the null hypothesis?

Answer & Explanation

okomgcae

okomgcae

Skilled2021-01-25Added 93 answers

Step 1 
From the provided information, 
Level of significance (α)=0.05 
F (3, 26) = 3.00 
At 3 and 26 degrees of freedom from the F value, the critical value of F is 2.98. 
Since, the test statistic value is greater than critical value. Thus, the null hypothesis will be rejected. 
Step 2 
F (4, 55) = 2.54 
The critical value of F at 4 and 55 degrees of freedom from the F value is 2.54. 
Since, the test statistic value is equal to the critical value. Thus, the null hypothesis will fail to reject. 
Step 3 
F (4, 30) = 2.72 
The critical value of F at 4 and 30 degrees of freedom from the F value is 2.69. 
Since, the test statistic value is greater than critical value. Thus, the null hypothesis will be rejected. 
Step 4 
F (2, 12) = 3.81 
The critical value of F at 4 and 55 degrees of freedom from the F value is 3.89. 
Since, the test statistic value is less than critical value. Thus, the null hypothesis will fail to reject.

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