SHOW COMPLETE SOLUTION. Dont round off A fabric manufacturer believes that the proportion of orders for raw material arriving late is p = 0.6. If a random sample of 10 orders shows that 3 or fewer arrived late, the hypothesis that p = 0.6 should be rejected in favor of the alternative p < 0.6. Use the binomial distribution. (a) Find the probability of committing a type I error if the true proportion is p = 0.6. (b) Find the probability of committing a type II error for the alternatives p = 0.3, p = 0.4, and p = 0.5.

SHOW COMPLETE SOLUTION. Dont round off A fabric manufacturer believes that the proportion of orders for raw material arriving late is p = 0.6. If a random sample of 10 orders shows that 3 or fewer arrived late, the hypothesis that p = 0.6 should be rejected in favor of the alternative p < 0.6. Use the binomial distribution. (a) Find the probability of committing a type I error if the true proportion is p = 0.6. (b) Find the probability of committing a type II error for the alternatives p = 0.3, p = 0.4, and p = 0.5.

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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