A bank makes loans to small businesses and on average 4.5% of them default on their loans within five years. The bank makes provision for these losses when it makes its financial plans. The Vice President in charge of small business loans thinks that the default rate may be going down and gives you a random sample of 282 recent loans of which 6 defaulted within five years. What advice do you give to the Vice President? The probability that 6 or fewer of the 282 small businesses default on their loans is probability that 6 or fewer of the 282 small businesses would default, so there is (Round to three decimal places as needed.) Using 5% as the criterion for an unlikely event, there is a relatively to support the claim that the default rate may be going down.