Question

You interview a random sample of 50 adults. The results of the survey show that 46​% of the adults said they were more likely to buy a product when there are free samples. At α = 0.01​, can you reject the claim that at least 59​% of the adults are more likely to buy a product when there are free​ samples?

Answer 1

Null hypothesis      

               
                      
Alternative hypothesis  

                  
                      
We have for given example,                      
Population proportion value is =0.59                  
x=23                  
                      
n=50                  
Level of significance =   0.01                  
Estimate for sample proportion =
                      
Z test statistic formula for proportion


=-1.87                  

P value is 0.0308....................by using Z table .

P value is 0.0308 > 0.01

Therefore, we fail to reject H0 at

Conclusion: We do not have sufficient evidence at to say that, less than 59​% of the adults are more likely to buy a product when there are free​ samples