Question

In a recent survey conducted a random sample of adults 18 years of age or older living in a certain country were asked the reaction to the word socialism In addition, the individuals were asked to discose which political party they most associate with Results of the survey are given in the table Complete parts (a) through (c) below Democrats Independents Republicans Positive 149 216 Negative 400 281 Does the evidence suggest individuals within each political ofikation read differently to the word "socialus"? Use the 0.05 level of sigricance State the typotheses OA H Portical party and reaction are independent Hy Political party and reaction are dependent OB. Hy oop and Organd, H, Alone mean is different from what is expected pc. Ho POPRA Hy Aleast one of the proportions is different from the others OD. Hy Political party and reactionare dependent H, Political party and reaction are independent Compute the Click to select your ans)

Answer 1

C. Ho POPATA Hy Aleast one of the proportions is different from the others

Applying chi square test of homogeneity

Expected	Ei=row total*column total/grand total	Democrats	Independents	Republicans	Total
	Positive	159.2434	144.1602	125.5963	429
	Negative	389.7566	352.8398	307.4037	1050
	total	549	497	433	1479
chi square    χ2	=(Oi-Ei)2/Ei	Democrats	Independents	Republicans	Total
	Positive	0.659	35.800	30.209	66.6678
	Negative	0.269	14.627	12.342	27.2385
	total	0.9281	50.4270	42.5512	93.9063
test statistic X2=		93.906
p value =	0.000	from excel: chidist(93.9063,2)

O A. Yes, there is evidence because the value is less than a

b)

dividing each cell value with column total:

	Democrats	Independents	Republicans
Positive	0.2714	0.4346	0.1478
Negative	0.7286	0.5654	0.8522

c)

option A is correct