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A J.D. Power and Associates vehicle quality survey asked new owners a variety of questions about their recently purchased automobile. One question asked for the owner's rating of the vehicle using categorical responses of average, outstanding, and exceptional. Another question asked for the owner's education level with the categorical responses some high school, high school graduate, some college, and college graduate. Assume the sample data below are for 500 owners who had recently purchased an automobile. Education Quality Rating Some HS HS Grad Some College College Grad Average 35 30 25 55 Outstanding 50 45 55 95 Exceptional 15 25 20 50 a. Use a 0.05 level of significance and a test of independence to determine if a new owner's vehicle quality rating is independent of the owner's education. Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? - Select your answer - | that the quality rating is not independent of the education of the owner. b. Use the overall percentage of average, outstanding, and exceptional ratings to comment on how new owners rate the quality of their recently purchased automobiles. Average Outstanding Exceptional % New owners - Select your answer - | to be satisfied with the recent purchase of their automobile. %% of owners rated their automobile as Outstanding or Exceptional