Question

In: Statistics and Probability

Two samples are taken with the following numbers of successes and sample sizes r1r1 = 38...

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.

Solutions

Expert Solution

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
              


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