Please help me solve 14,15 and 16

14 (SLO) At ABC Community College it is estimated that at most 8% of the students use public transportation to college. Does this seem to be a valid estimate if, in random sample of 200 college students, only 20 use public transportation to college. Use a = 0.01. What is maximal number of students that does not reject "at most 8%" hypothesis? 15. An airline must allocate available seating space between first and economy class passengers. The claim is that 22% of the passengers fly first class, but management recognizes the possibility that the percentage could be more or less. A random sample of 500 passengers includes 88 passengers with first class tickets. Can the claim be rejected at the 5% level of significance? At what level of significance "22% of the first class passengers" hypothesis will be rejected? What is the minimum number of first class passengers that rejects the claim? What is the maximum number of first class passengers that rejects the claim? To check whether the popularity of a political candidate is down from 63%, a random sample of 400 voters is surveyed. 245 out of 400 favor the candidate. Test the hypothesis that 63% popularity is down at significance level a = .03. Find the minimal number K that does not reject the 63% popularity hypothesis? Find the maximal significance level a that does not reject the 63% popularity hypothesis