MyStallab Final Exam This Testr 280 pta Test the hypothesis

MyStallab Final Exam This Testr 280 pta Test the hypothesis using the P-value approach. Be sure to venity the requairements of he test Ho P-03 versus H p03 Po) 2 107 D Yes No Use technology to find the Picalue Round to thee Secinal places as needed the itul bypothesis, bessut the p.vaitti Gin

Solution

a)

As n = 200, po = 0.3,

n po (1-po) = 200*0.3*(1-0.3) = 42 >= 10, so

ANSWER: YES.

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b)

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.3
Ha:   p   >   0.3
As we see, the hypothesized po =   0.3      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.35      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.032403703      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    1.5430335      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.061411324 = 0.061   [ANSWER, P VALUE]  

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C)

DO NO REJECT THE NULL HYPOTHESIS, BECASUE THE P VALUE IS GREATER THAN ALPHA.

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