In: Statistics and Probability
Two samples are taken with the following numbers of successes
and sample sizes
r1r1 = 38 r2r2 = 39
n1n1 = 86 n2n2 = 63
Find a 97% confidence interval, round answers to the nearest
thousandth.
We have given,          
   
          
   
r1=38          
n1=86          
          
   
r2=39          
n2=63          
          
   
Level of significance =   0.03  
       
Z critical value (by using Z table)=2.17
Estimate for sample proportion 1
          
   
Estimate for sample proportion 2 
  
Confidence interval formula is      
       
=(-0.3535, -0.0007)      
   
          
   
          
   
Lower limit for confidence interval=-0.354
          
   
Upper limit for confidence interval is=-0.001