Under federal law some people under the age of 25 are eligible for grants for attending college. Writers of the law expected that 65% of those eligible would enroll in the program. Officials worry that the actual percentage enrolled is below this figure. They intend to select a pilot survey of 250 eligible persons in order to investigate this issue. (a) State the appropriate hypotheses. Define p (in words) in this case (b) Of the 250 eligible persons sampled, a total of 158 had enrolled in the program. Compute the sample proportion and hence the p-value (c) Provide a conclusion.