Question: A production manager for a manufacturer of CD’s claims that his new process for manufacturing CDs is better because the rate of defects is lower than 4%, which had been the rate of defects in the past. To support his claim, he manufacturers a bath of 2500 CDs, than randomly selects 15 of them for testing, with the result that there are no defects among the 15 CDs.

Assuming that the new method has the same 4% defect rate as in the past, find the probability of getting no defects among the 15 CDs. (Round to four decimal places.)

Based on the result, is there strong enough evidence to support the manager’s claim that his new process is better? Yes or NO