Question: 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

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.

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

c. (Hard) 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.

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