Question B.3

A National Highway Traffic Safety body is concerned about the fire hazards posed by vehicles involved in different types of collisions. They collate information of past accidents involving vehicle fires, including the type of car (electric vs petrol) and the type of collision (front collision vs rear collision). They construct the following contingency table from a random sample of 694 collisions:

The results are shown below. Accident type
Front Collision	Rear Collision
Type of vehicle	Petrol	367	245
Electric	49	33

(b) Are you required to make any assumptions to use the test you have proposed in part (a) above? If so, what is the assumption, or what are those assumptions? Now check any assumption or assumptions you are making.

Hint: Rather than do calculations manually, you can use excel to do the necessary calculations and present the formula you used alongside your results

(c) Now implement the test you have chosen in part (a), using a 5% level of significance.