Question

3)CC A sample of 219 women and a sample of 210 men was taken, and each person was asked what they considered to be the most credible medium for news (newspaper, television, internet). Here’s the data

                                    Newspaper                    Television                     Internet             TOTAL

            Men                 92                                108                               19                    219

            Women            97                                81                                32                    210

            TOTAL            189                               189                               51                    429

a) Fill out the table of row proportions (each row should sum to 1

                                    Newspaper                    Television                     Internet             TOTAL

            Men                 _____                           _____                           _____               1.0

            Women            _____                           _____                           _____               1.0

b) Perform the chi-square test of homogeneity to test the null hypothesis that women and men have similar preference patters.

X² = _________ ; df = ___________ ; p-value = __________

Answer 1

Row proportions table:

Newspaper	Television	Internet	Total
Men	0.420091	0.493151	0.086758	1	Rvalue/Rtotal
Women	0.461905	0.385714	0.152381	1
Total	0.440559	0.440559	0.118881	1

Chisquare Calculations:

O	Newspaper	Television	Internet	Total
Men	92	108	19	219
Women	97	81	32	210
Total	189	189	51	429
E	Newspaper	Television	Internet	Total	E=Rtotal*Ctotal/Grand total
Men	96.4825175	96.482517	26.03497	219
Women	92.5174825	92.517483	24.96503	210
Total	189	189	51	429
X^2	Newspaper	Television	Internet	Total	X^2 = (O-E)^2/E
Men	0.20825496	1.3748854	1.900933	3.484074
Women	0.21718017	1.433809	1.982402	3.633391
Total			X^2	7.117465

X^2 = 7.1175

df = (r-1) * (c-1) = (2-1) * (3-1) = 2

P value = 0.0285 (Use X^2 table)

P value < 0.05, Reject H0

women and men have no similar preference patters.