Question

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 579 tankers is drawn. Of these ships, 429 did not have spills. Using the data, construct the 90% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.

Solutions

Expert Solution

We have given,              
              
x=579-429=150          
n=579          
Estimate for sample proportion=0.2591  
Level of significance is =1-0.90=0.1      
Z critical value(using Z table)=1.645      
              
Confidence interval formula is              


=(0.229,0.289)
              
Lower limit for confidence interval=0.229  
              
Upper limit for confidence interval=0.289


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