Question

The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B C P 40 48 45 Q 10 22 35 Test for independence of the row and column variables using a=.05. Compute the value of the test statistic (to 2 decimals). The -value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10 What is your conclusion? - Select your answer -Cannot reject the assumption that rows and columns are independent Conclude the row variable and column variable are not independent

Answer 1

the necessary calculation table be:-

row variable		A	B	C	total
P	observed frequency(Oi)	40	48	45	133
	expected frequency(Ei)	(50*133)/200 = 33.25	46.55	53.20
		1.3703	0.0452	1.2639
Q	observed frequency(Oi)	10	22	35	67
	expected frequency(Ei)	16.75	23.45	26.80
		2.7201	0.0897	2.5090
column total of observed frequency		50	70	80

hypothesis:-

the row and column variables are independent.

the row and column variables are not independent.

the test statistic be:-

The p-value is :- between 0.01 and 0.025

[ df = (3-1)*(2-1)= 2

fro chi square table for df =2,chi square = 8.00 ]

my conclusion is:-

Conclude the row variable and column variable are not independent.

[ p value < 0.025 < 0.05 (alpha).

so we reject our null hypothesis.]

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