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.
We have given for the example      
       
          
   
x1=1173          
n1=1392          
          
   
x2=1196          
n2=1457          
      
Estimate for sample proportion 1
          
   
Estimate for sample proportion 2
   
Pooled proportion 
          
   
Z test statistic formula is       
       
=1.55  
| Z test statistic = 1.55 |