3.2 To determine if there is an association between gender and accident circumstance, 160 people who had been injured in an accident were randomly selected from medical records and categorised by gender and the circumstance of their accident. The results are shown below.

	At work	At home	Car	Other
Female	10	28	12	22
Male	22	25	7	34

[1+1+3+2+2 = 9 marks]

a) State the null and alternative hypotheses for this test.

Ho:

Ha:

b) Briefly discuss the required assumptions and conditions in the context of this problem.

c) Find the expected counts and then2(round to 2 decimals).

Expected counts

	At work	At home	Car	Other
Female
Male

2 =

d) Give the degrees of freedom and P-value.

e) State your conclusion (using = 0.01) in plain English.