3. A sample of Arizona high school students were asked about whether or not they smoked and whether or not either of their parents smoked. The researchers were interested if the smoking status of the student was independent of the smoking status of their parents. The following table summarizes the results. Student Smokes Student Doesn't Smoke Marginal Total Both Parents Smoke 40 130 170 One Parent Smokes 42 188 230 Neither Parent Smokes 18 112 130 Marginal Total 100 430 530 a. Is this a test of homogeneity or independence? Why is it that test? (3 points) b. Test the hypothesis that the researchers were interested in (add the expected values to the above table for full credit) (15 points) c. Based on an a=0.05 (x- Table attached), what do you conclude based on the researchers' original question? (5 points)