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 sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 50; n2 = 50x1 = 8; x2 = 7

0.3897

0.6103

0.7794

0.2206

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 =    0.16      
p2 = x2/n2 =    0.14      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.071386273      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    0.280165907      
          
As significance level =    0.05   , then the critical z is  
          
zcrit =    1.959963985      
          
Also, the p value is          
          
P =    0.779350222 = 0.7794 [OPTION C, ANSWER]