12) About 4% of Americans are vegetarians. For a random sample of 400 students at University X, suppose that none are vegetarians. a. Set up null and alternative hypotheses for testing whether the proportion of vegetarians is the same or different at that university than nationwide. Check that the sample size is large enough for the test. b. Find the sample proportion, standard error, and test statistic. c. Find the P-value. Is there strong evidence that the proportion of vegetarians at the university differs from 0.04