Question

A 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 owners who had recently purchased an automobile.

A 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 55 Quality Rating Some HS HS Grad Some College College Grad Average 30 25 20 Outstanding 50 40 45 90 Exceptional 20 35 35 a. Use a .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 xa test statistic (to 2 decimals). 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 upon how new owners rate the quality of their recently purchased automobiles. Average Outstanding Exceptional to be satisfied with the recent purchase of their automobile. % of owners rated their automobile as Outstanding New owners - Select your answer or Exceptional.

Answer 1

Mo Vehicle Hla: Vehicle quality rating is independent of ounces education. quality reting is not independent - Expected voluer row total x col-total Grand Total. | C | Co-ee | 30 25 26 26 2G x² ECO-E) 2 s2 55 50 0.6154 0.0385 1.3846 0 1731 0.5556 0.5556 us 40 us us x ² = 8.1536 = [8.75 df = (8-1) (C-1) = 6;&=005 P-value = 0.1879 c toom tsom x² table) 90 20 29 2.1931 35 29 P-value >a, 35 we do not 1.2414 1.2414 0.1552 reject Ho.

the to that conclude there is no quelity rating sufficient is not rent evidence evidence to Cone independent of the education of орие , Average = soo = 0.26 or 264. outstanding - 225 = 0.45 or 451. Exceptional = 145 Joo 50o = 0.29 829 7. Across all new ownees in the sample, we see that outstanding is the most frequent owner reting & Average is the least frequent owner beting.