Please solve

4. Does education really make a difference in how much money you will earn? Researchers ran- domly selected 100 people from each of three income categories-"marginally rich," "comfortably rich," and "super rich"-and recorded their education levels. The data is summarized in the table that follows (Rebecca Piirto Heath, 1997, "Life on Easy Street," American Demographics, April 1997, p. 33). Highest Marginally Comfortably Education Level Rich Rich Super Rich No college 32 20 23 Some college 13 16 Undergraduate degree 43 51 60 Postgraduate study 12 13 16 Total 100 100 100 (a) (2 pts) Is the sampling in this study full Multinomial sampling, product Multinomial sam- pling, or Hypergeometric sampling? (b) (2 pts) Do the data indicate that the proportions in the various education levels differ for the three income categories? Conduct the test by computing an appropriate test statistic and critical value at the a = 0.05 level. (c) (2 pts) Conduct the same hypothesis test, using the p-value