Cell Contents: Count Expected count Contribution to Chi-square Chi-Square = 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the x2 test underlying the generation of the above table. b) Fill in the missing values '*','**', '***' and '***** a c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer. 3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age 公 Under 30 30-39 40-49 Small 45 30.73 6.6246 23 36.29 4.8686 16 34.24 50-59 60 and over 32 All 52 ** 9.7197 0.0801 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 54 42.34 47 39.95 33 39 196 35.51 4.6081 3.2101 1.2436 0.1777 42.34 0.2637 All 105 124 117 104 124 574