uestion 8 (5 marks)

A random sample of 160 car accidents are selected and categorized by the age of the

driver determined to be at

fault. The results are listed below. The age distribution of

drivers in the car accidents for the given categories is 18% for the under

-

26 group,

39% for the 26-45 group, 31% for the 46-65 group, and 12% for the group over 65.

Age under 26 26-45 46-65 over 65

Drivers 66 39 25 30

Required:

a) Determine the null and alternative hypotheses.

(1 mark)

b) Determine the value of the test statistic.

(2 marks)

c) Using the critical value approach, determine the

p

-value for this hypothesis testing.

(1 mark)

d) Based on the analysis above, state your conclusion.

(1 mark)