Answer
As the critical value is increased due to the use of Formula (2), the formula \[\text{Minimum}\left( {{n}_{1}}-1,{{n}_{2}}-1 \right)\] is used to calculate the critical value.
Work Step by Step
The degrees of freedom obtained by using Formula (2) is larger than the degrees of freedom calculated by using the formula\[\text{Minimum}\left( {{n}_{1}}-1,{{n}_{2}}-1 \right)\]
As the value of degrees of freedom rises, the critical value will decrease. If the critical value for the test is decreased, then it is tough to discard the null hypothesis at a desired significance level.