You wish to test the following at a significance level of α=0.05α=0.05. H0:p=0.19H0:p=0.19 H1:p

You wish to test the following at a significance level of α=0.05α=0.05.


      H0:p=0.19H0:p=0.19
      H1:p<><>


You obtain a sample of size n=596n=596 in which there are 103 successful observations.


For this test, we use the normal distribution as an approximation for the binomial distribution.


For this sample...

1. The
   test statistic (zz) for the data =  (Please show your answer to three decimal places.)


2. The
   p-value for the sample =  (Please show your answer to four decimal places.)


3. 
   The p-value is...
   
   
   

   
   
   • greater than αα
   
   
   • less than (or equal to) αα
   
   

   
   
   
   


4. 
   (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)
   
   Base on this, we should ....
   
   
   

   
   
   • fail to reject the null hypothesis
   
   
   • reject the null hypothesis
   
   
   • accept the null hypothesis
   
   

   
   
   
   


5. As such, the final conclusion is that...
   
   
   

   
   
   • The sample data suggest that the population proportion is notsignificantly less than 0.19 at the significant level of αα = 0.05
   
   
   • The sample data suggest that the population proportion issignificantly less than 0.19 at the significant level of αα = 0.05.