Question

Question 9 S points Save Answer A survey of 285 Democrats and 215 Republicans were asked their opinion on tax reform. The results of the survey are shown in the table below. What conclusion can be drawn from a chi-square test for independence at the OS level? Favor Indifferent Opposed 64 Total 285 Democrat 138 83 84 67 215 Republican 150 148 500 Total 202 Reject the null hypothesis and conclude, at 0.05, that party affiliation and opinion on tax reform are related. Reject the null hypothesis and conclude, at -0.05, that party affiliation and opinion on tax reform are not related Accept the null hypothesis and conclude, at 0.05, that party affiliation and opinion on tax reform are related Accept the null hypothesis and conclude, at 0.05, that party affiliation and opinion on tax reform are not related

Answer 1

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	Favor	Indifferent	Opposed	Total
	Democrat	115.1400	85.5000	84.3600	285
	Republican	86.8600	64.5000	63.6400	215
	total	202	150	148	500
chi square    χ2	=(Oi-Ei)2/Ei	Favor	Indifferent	Opposed	Total
	Democrat	4.5386	0.0731	4.9138	9.5256
	Republican	6.0163	0.0969	6.5137	12.6269
	total	10.5550	0.1700	11.4275	22.1525
test statistic X2 =		22.152
p value =		0.0000

since p value <0.05

reject the null hypothesis and conclude at a=0.05 .....are related

OReject the null hypothesis and conclude, at a-0.05, that party affiliation and opinion on tax reform are related