Assume that you plan to use a significance level of alpha 0

Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2. Use the given sample size and numbers of successes to fine the P-value for the hypothesis test. n1 = 50;n2 = 75x1 = 20; 15 0.0032 0.0146 0.1201 0.0001

Solution

Formulating the hypotheses          
Ho: p1 - p2   =   0  
Ha: p1 - p2   =/=   0  
Here, we see that pdo =    0   , the hypothesized population proportion difference.  
          
Getting p1^ and p2^,          
          
p1^ = x1/n1 =    0.4      
p2 = x2/n2 =    0.2      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.08326664      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    2.40  
          
          
Also, the p value is          
          
P =    0.0146   [ANSWER]