A study of the investment industry claims that 55% of all mutual funds outperformedthe stock market as a whole last year. An analyst wants to test this claim and obtains arandom sample of 280 mutual funds. The analyst finds that only 128 of the fundsoutperformed the market during the year. Determine the probability that anotherrandom sample would lead to a sample proportion as low as or lower than the oneobtained by the analyst, assuming the proportion of all mutual funds that outperformedthe market is indeed 0.55.