A car company claims that only 15% of its cars require a major repair within 5 years of purchase.  A random sample of 200 cars from the company showed that 20% of the sample required a major repair within 5 years of purchase.  Assuming that the car company is correct that the population proportion is 15%, what is the probability of getting a sample proportion of 20% or more in a random sample of 200 cars?  Round your answer to 3 decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A car company claims that only 15% of its cars require a major repair within 5 years of purchase.  A random sample of 200 cars from the company showed that 20% of the sample required a major repair within 5 years of purchase.  Assuming that the car company is correct that the population proportion is 15%, what is the probability of getting a sample proportion of 20% or more in a random sample of 200 cars?  Round your answer to 3 decimal places.

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