Question

Use the contingency table to the right to complete parts? (a) and? (b) below.

A B Total

54 16 70

16 14 30

(Total) 70 30 100

a) What is the value of the test? statistic?

b) What is the p-value with an alpha level of .005?

Answer 1

a) From the given data

The expected frequencies are
	A	B	Total
	49	21	70
	21	9	30
Total	70	30	100

The chisquare contribution values are

Oi	Ei	(Oi-Ei)^2 /Ei
54	49	0.5102
16	21	1.1905
16	21	1.1905
14	9	2.7778
	Total:	5.669

Test Statistic, X^2: 5.6689

Critical X^2: 7.879446
b) P-Value: 0.0173

Here Chisquare value < Chisquare critical value and P-value > alpha (0.005) so we accept H0

Thus we conclude that the two atrributes are independent