Question

In: Statistics and Probability

A publisher reports that 29% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

 

A publisher reports that 29% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 250 found that 26% of the readers owned a particular make of car. Is there sufficient evidence at the 0.01 level to support the executive's claim?

Solutions

Expert Solution

Null hypothesis      

               
                      
Alternative hypothesis  

                   
                      
We have for given example,                      
Population proportion value is =0.29                  
x=65                  
                      
n=250                  
Level of significance =   0.01                  
Estimate for sample proportion
                      
Z test statistic formula for proportion


=-1.05          

P value is =0.2938

P value is =0.2938 > 0.01

Therefore, we fail to reject H0 at

Conclusion: We do not have sufficient evidence at to  support the executive's claim


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