For a 2 variances test, the hypotheses are as follows.
 Null hypothesis

H_{0}: σ_{1} / σ_{2} = K 
The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is equal to the hypothesized ratio (K). 
 Alternative hypothesis
 Select one of the following alternative hypotheses.
H_{1}: σ_{1} / σ_{2} ≠ K 
The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) does not equal the hypothesized ratio (K). 
H_{1}: σ_{1} / σ_{2} > K 
The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is greater than the hypothesized ratio (K). 
H_{1}: σ_{1} / σ_{2} < K 
The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is less than the hypothesized ratio (K). 
Note
If you are testing the ratio of variances, substitute variance (σ^{2}) for standard deviation (σ) in the hypotheses.