hello Test the hypothesis using the Pvalue approach Be sure

hello.

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p = 0.6 versus H1: p>0.6 n = 250; x= 170, alpha = 0.1 Is np0(l-po)GE10? Yes No Use technology to find the P-value. P-value = (Round to three decimal places as needed.) the null hypothesis, because the P-value is than alpha,

Solution

a)

As n = 250, po = 0.6, then

n po (1-po) = 250*0.6*(1-0.6) = 60 > 10 [YES, ANSWER]

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b)

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.6
Ha:   p   >   0.6
As we see, the hypothesized po =   0.6      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.68      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.030983867      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    2.581988897      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.004911637   [ANSWER]

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C)

Thus, we REJECT the null hypothesis, because the Pvalue is LESS THAN alpha. [ANSWER]