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In: Statistics and Probability

An environmentalist wants to find out the fraction of oil tankers that have spills each month....

An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of 250 tankers is drawn. Of these ships, 198 did not have spills. Using the data, construct the 85 % confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.

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Expert Solution

We have given,              
              
x=250-198=52          
n=250          
Estimate for sample proportion=   0.208  
Level of significance is =1-0.85=0.15      
Z critical value(using Z table)=1.44      
              
Confidence interval formula is              


=(0.171,0.245)
          
Lower limit for confidence interval=0.171  
              
Upper limit for confidence interval=0.245  

orchestra answered 2 years ago
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