96% of Americans report eating a diet that includes meat, 3.5% of Americans claim to be exclusively vegetarian, and 0.5% claim to be strictly vegan. Of a random sample of undergraduates in the University of Virginia dining hall (n = 175), 156 students report eating a diet that includes meat, 11 report being exclusively vegetarian, and 8 are strictly vegan. 1. State the test you would use to determine if the observed and expected frequencies of diets are consistent. List the conditions required for this test and verify that they are satisfied. 2. How many students would you expect to eat meat, be exclusively vegetarian, and be a strict vegan? 3. Calculate the chi-square statistic, the degrees of freedom associated with it, and the p-value. 4. Based on the p-value calculated in Question 7, what is the conclusion of the hypothesis test at a = 0.05? Interpret your conclusion in context of the question.