You sample 100 owls in each region, recording their species and calculating the percentage of the overall owl population that consists of snowy owls. You discover that snowy owls make up 4% (0.04) of the total owl population with 25% (0.25) standard deviation in southeastern Ohio. In northern West Virginia, the percentage is 5% (0.05) with 2.25% (0.0225) standard deviation.

Set up a two-tailed hypothesis test for this analysis.