Question

4. A recent poll asked "how many speeding tickets have you ever received" to three different types of motorists: those who drove cars, trucks or other types of vehicles. The resulting counts are shown below. Category No 1-3 More than 3 speeding tickets speeding tickets speeding tickets Totals Car owners 57 21 102 Sample Truck owners 63 39 12 114 Others 48 27 9 84 Totals 168 87 45 300 Use a = 0.01 for a x’ test of independence. 24

Answer 1

The p value = 0.0227 S.T Total 57.12 399.581 45 x 102 NO S. 50 the hill Hypothesis is not Rejected. * Expected values. NO Spead pins ! 1-3 More than 3 Tickets S.T. cur 1168 X 102 87X102 = 15.3 Owners 300 300 300 102 Truck 1168x114. 63.84 [87x114 = 33.0645X114 217.1 Owness 300 300 300 114 168484 187884 others -47.04 224.36 45784 - 12.6 300 300 300 84 168 87 Total 45 300 sqyaneel Velyes Ei 1-3 S. Ti more than 3 SI Totel C48 57-57.12) ² Qi-49.58) -0 24-15.372 owned 57:12 29.58 15.3 = 2.489 Truck 63-63.84) 39 - 33.00 112-17.15² 63.84 ownen 33. 06 17.1 50.011 21.067 = 1:521 (48-47.04) 07-24.36) (9- 12,67 others ha.04 24.36 12. G 0.02 0,286 e 1.029 Total Rejection Region (3-1)×(3-1) Rejection Region : ec> 13.899 = 0 + 0.011 +0.02+2,489 +1.067 Ei + 0,086 + 4.949+1.521+7.028 11.33 = 4.947 D. Fa 34 a - O,01 2 - Test Statistics E (oi- Eig? ai