Congressman Lester Asperin has charged that 50% of all IRS agents would fail a simple test on

Question:

Congressman Lester Asperin has charged that 50% of all IRS agents would fail a simple test on tax law. IRS Commissioner John Tight believes no more than 15% would fail. Of the 1,000 agents, 200 are randomly selected and given the test, and 60 fail. What is the probability that Asperin is correct? What is the probability that Tight is correct?