Question

In: Statistics and Probability

A poll is taken in which 348 out of 525 randomly selected voters indicated their preference...

A poll is taken in which 348 out of 525 randomly selected voters indicated their preference for a certain candidate.

(a) Find a 99% confidence interval for p.

≤. p. ≤.

(b) Find the margin of error for this 99% confidence interval for p.

Solutions

Expert Solution

We have given,              
              
x=348          
n=525          
Estimate for sample proportion=   0.6629  
Level of significance is =0.01      
Z critical value(using Z table)=2.576  

a)   
      
Confidence interval formula is              


=(0.6098, 0.7160)
              
Lower limit for confidence interval=0.6098  
              
Upper limit for confidence interval=0.7160  


(b)


=0.0531

Margin of error E=0.0531


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