A random sample of 400 electronic components manufactured by acertain process are tested, and 30 are found to be defective.
a) Let p represent the proportion of componentsmanufactured by this process that are defective. Find a 95%confidence interval for p. Round the answers to fourdecimal 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. Lotscontaining more than 20 defective components may be returned. Finda 95% confidence interval for the proportion of lots that will bereturned. Use the normal approximation to compute this proportion.Round the answers to four decimal places.
