Question

You are conducting a test of independence for the claim that there is an association between the row variable and the column variable X Y Z A 21 59 34 The expected observations for this table would be The resulting Pearson residuals are: What is the chi-square test statistic for this data? Report all answers accurate to three decimal places. Submit

Answer 1

(please take care of decimals as it is not given here)

Expected	Ei=row total*column total/grand total	X	Y	Z
	A	36.319	45.903	31.779
	B	35.681	45.097	31.221

Pearson residuals:

chi square    χ2	=(Oi-Ei)2/Ei	X	Y	Z
	A	6.461	3.737	0.155
	B	6.577	3.804	0.158

test statistic X2 =

20.892

(please try pearson residual as below if above comes wrong)

2.542	1.933	0.394
2.564	1.950	0.398