Question

An instructor wishes to see if the way people obtain information is independent of their educational background. A survey of 400 high school and college graduates yielded this information. At a=5%, test the claim that the way people obtain information is independent of their educational background.

Table:

	Television	newspaper	other sources
high school	159	90	51
college	27	42	31

College 27 42 31

Answer 1

Ho:people obtain information is independent of their educational background.

Ha:people obtain information is dependent of their educational background.

alpha=0.05

calculation of test statistic :

Expected frequency=row total*column total/Grand total

O=pbserved frequency

	Television	newspaper	other sources	row total
high school	159	90	51	300
college	27	42	31	100
column total	186	132	82	400	-->Grand total
		0	E	0-E	(O-E)^2	(O-E)^2/E
		159	139.5	19.5	380.25	2.725806
		90	99	-9	81	0.818182
		51	61.5	-10.5	110.25	1.792683
		27	46.5	-19.5	380.25	8.177419
		42	33	9	81	2.454545
		31	20.5	10.5	110.25	5.378049
					CHI SQ STAT'	21.34668

degrees of freedom=(no of row-1)(no of columns-1)

=(2-1)(3-1)

=2

p avlue ine xcel i

=CHISQ.DIST.RT(21.34668;2)

=

2.31541E-05

p=0.000023154

p<0.05

Reject Ho.

Accept Ha.

Conclusion:

there is no sufficient evidence at 5%, to  support the the claim that the way people obtain information is independent of their educational background.