In a certain Industrial process the proportion of defective items is 5% The quality manager ensures that the sample proportion of defective deviates from the population proportion by less than 3% with a probability greater than 0.90 a) Will the manager's statement be valid if I take a sample of n = 120? justify your answer b) What must be the minimum size of the random sample of items to be selected from production so that the proportion of defective items in the sample is less than 6% with a probability greater than 0.98?

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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In a certain Industrial process the proportion of defective items is 5% The quality manager ensures that the sample proportion of defective deviates from the population proportion by less than 3% with a probability greater than 0.90

a) Will the manager's statement be valid if I take a sample of n = 120? justify your answer


b) What must be the minimum size of the random sample of items to be selected from production so that the proportion of defective items in the sample is less than 6% with a probability greater than 0.98?

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