In: Statistics and Probability
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of 355 tankers is drawn. Of these ships, 299 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.
We have given,
x=355-299=56
n=355
Estimate for sample proportion=0.1577
Level of significance is =1-0.85=0.15
Z critical value(using Z table)=1.44
Confidence interval formula is
=(0.1298,0.1856)
Lower limit for confidence interval=0.130
Upper limit for confidence interval=0.186