choose between yes no Yes SolutionFormulating the hypotheses

choose between yes, no

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 =    0.647058824      
p2 = x2/n2 =    0.644444444      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.096243581      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    0.027164192   [ANSWER]

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As significance level =    0.05   , then the critical z is  
          
zcrit =    1.644853627      
          
Also, the p value is          
          
P =    0.489164388   [ANSWER]

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Thus comparing p > 0.05, then we    FAIL TO REJECT THE NULL HYPOTHESIS.   [NO, NOT SIGNIFICANT]