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 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.
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