Defective electronics: A simple random sample of 200 electronic components was tested, and 17 of them were found to be defective.

a. Construct a 99% confidence interval for the proportion of components that are defective.

b. Use the results from the sample of 200 to estimate the sample size needed so that the 99% confidence interval will have a margin of error equal to 0.04.

c. A simple random sample of a different type of component will be tested. At this point, there is no estimate of the proportion defective. Find a sample size so that the 99% confidence interval will have a margin of error no greater than 0.04.