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.

The value

Step-by-step explanation:

From the question we are told that

The first sample size is

The number that test positive in first sample is

The second sample size is

The number that tested positive in the second sample is

The first sample proportion is mathematically represented as

=>

=>

The second sample proportion is mathematically represented as

=>

=>

The null hypothesis is

The alternative hypothesis is

Generally test statistics is mathematically represented as

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step-by-step explanation: