In: Math
The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 58 were made with cash, compared with 32 in a sample of 60 consumer purchases in the United States. Construct a 99 percent confidence interval for the difference in proportions. (Round your intermediate value and final answers to 4 decimal places.) The 99 percent confidence interval is from __ to __ .
We have given,          
   
          
   
x1=58          
n1=120          
          
   
x2=32          
n2=60          
          
   
Level of significance =   0.01  
       
Z critical value (by using Z table)=2.576
Estimate for sample proportion 1
          
   
Estimate for sample proportion 2 
  
Confidence interval formula is      
       
=(-0.2533,0.1533)      
   
          
   
          
   
Lower limit for confidence interval=-0.2533
          
   
Upper limit for confidence interval is=  
0.1533