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?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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