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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A:

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Q: a) A college principal decides to consult the students about a proposed change in the time of…

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A: a)

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.