marketing researchers for car manufacturers claim that more

marketing researchers for car manufacturers claim that more than one -half of americans want web access in their cars. in a survey of 3353 adult americans, 52% indicated that they are somewhat interested or very interested in having web access. test the researchers claim more than 50% of americans want web access in their cars. use alpha 0.01

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.5
Ha:   p   >   0.5
As we see, the hypothesized po =   0.5      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.52      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.008634819      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    2.316203791      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.010273572      
significance level =    0.01      

As P > 0.01, we   FAIL TO REJECT THE NULL HYPOTHESIS.  

Thus, there is no significant evidence that more than 50% of americans want web access in their cars. [CONCLUSION]  

marketing researchers for car manufacturers claim that more than one -half of americans want web access in their cars. in a survey of 3353 adult americans, 52%

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