Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. Zack Schadek, the owner, received a large shipment this morning. To ensure the quality of the shipment, he selected a random sample of 300 cups. He found 15 to be defective. Thus, the estimated proportion defective in the population is .05.
(a) What are the endpoints of a 95 percent confidence interval for the proportion defective. (Round your answers to 3 decimal places).