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In: Statistics and Probability

Suppose a sample of 2339 tenth graders is drawn. Of the students sampled, 1942 read above...

Suppose a sample of 2339 tenth graders is drawn. Of the students sampled, 1942 read above the eighth grade level. Using the data, construct the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Solutions

Expert Solution

We have given,              
              
x=2339-1942=397          
n=2339          
Estimate for sample proportion=   0.1697  
Level of significance is =1-0.99=0.01      
Z critical value(using Z table)=2.576      
              
Confidence interval formula is              


=(0.1497,0.1897              
Lower limit for confidence interval=0.150  
              
Upper limit for confidence interval=0.190


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