You wish to test H0 p SolutionFormulating the null and alter

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   >=   0.67
Ha:   p   <   0.67
As we see, the hypothesized po =   0.67      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.612745098      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.032921475      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    -1.73913537 = -1.74   [ANSWER, TEST STATISTIC]  
          
*************************

As this is a    LEFT   tailed test, then, getting the p value,  
          
p =    0.041005477   [ANSWER]