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A random sample of 400 electronic components manufactured by a certain process are tested, and 30...

A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective.

a) Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places.

b) How many components must be sampled so that the 95% confidence interval will specify the proportion defective to within ±0.02? Round up the answer to the nearest integer.

c) The company ships the components in lots of 200. Lots containing more than 20 defective components may be returned. Find a 95% confidence interval for the proportion of lots that will be returned. Use the normal approximation to compute this proportion. Round the answers to four decimal places.

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milcah answered 6 months ago
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