1. Research question: Is the proportion of seniors who own a car greater than the proportion of first-year students who own a car in the population of all Penn State students? Which of the following sets of hypotheses should be used to address this research question? Ps = proportion of all Penn State seniors who own a car pr = proportion of all Penn State first-year students who own a car Ho: p. - p. = 0 H.: p. - p. # 0 H.: p - p. = 0 H.: p. - p, > 0 H.: p, - p, > 0 H.: p, - p. = 0 H.: ps - p * 0 H.: p, - p. = 0 2. Researchers want to construct a 99% confidence interval to estimate pt - Pc using the sample data in the table below. P: = proportion of treatment passing Pc = proportion of control passing Sample Data Treatment Control Total Pass 88 80 168 Fail 12 20 32 Total 100 100 200 Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval? Yes, the z distribution may be used No, the z distribution should not be used