test the hypothesis using p value approach H0p09 versus H1p0

test the hypothesis using p value approach. H0:p=0.9 versus H1:p>0.9

n=200 x=185 a=0. find p value

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.9
Ha:   p   >   0.9
As we see, the hypothesized po =   0.9      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.925      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.021213203      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    1.178511302      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.119296415   [ANSWER, P VALUE]

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As this is a large P value, we   FAIL TO REJECT THE NULL HYPOTHESIS.      

Hence, there is no significant evidence that the population proportion is greater than 0.9. [CONCLUSION]