In: Statistics and Probability
In a sample of 1392 mosquitoes trapped in a region, 1173 tested positive for a certain disease. In a sample of 1457 mosquitoes trapped in a different region, 1196 tested positive for the disease. Compute the test statistic for a hypothesis test to compare the population proportions of mosquitoes in the regions that tested positive for the disease. Assume that the conditions for a hypothesis test for the difference between the population proportions are met. Round your answer to two decimal places.
Let denote the proportion of mosquitoes tested positive for a certain disease in two regions respectively.