A paper included analysis of data from a national sample of 1,000 Americans. One question on the survey is given below. "You owe $3,000 on your credit card. You pay a minimum payment of $30 each month. At an Annual Percentage Rate of 12% (or 1% per month), how many years would it take to eliminate your credit card debt if you made no additional charges?" Answer options for this question were: (a) less than 5 years; (b) between 5 and 10 years; (c) between 10 and 15 years; (d) never—you will continue to be in debt; (e) don't know; and (f) prefer not to answer. (a) Only 359 of the 1,000 respondents chose the correct answer of "never." For purposes of this exercise, assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use α = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.10.) State the appropriate null and alternative hypotheses.