Question

To determine if there is an association between gender and accident circumstances, 146 people who had been injured in an accident were randomly selected from medical records and categorised by gender and the circumstance. The results are shown below:

	At work	At home	car	Other	total
female	4	28	6	24	62
male	18	26	4	36	84
total	22	54	10	60	146

a) State the null and alternative hypotheses for this test of association/independence.

b) How many degrees of freedom are there?

c) Find χ² and the P-value.

d) State your conclusion (using α = 0.05) in plain English.

Showing all working out and dont use technology ie. spss or excel.

Answer 1

(A) Null and alternative Hypothesis:

H0: There is no relation ship between gender and the circumstance

H1: There is relation ship between gender and the circumstance

Let the los be alpha = 5%

(B) df = (row-1) * (column-1) = (2-1) * (4-1) = 3

(C) The observed frequencies are

	At work	At home	Car	Other	Total
female	4	28	6	24	62
male	18	26	4	36	84
Total	22	54	10	60	146

D) Thus we conclude that there is sufficient evidence that the relation ship between gender and the circumstance exist.