Question

Many survey results have reported a significant gender gap in Canadian public opinion. The federal elections results also show some signs of the gender gap in Canadians' voting preferences. In order to investigate a recent trend, a political party randomly selected 2,500 Canadians. The respondents who were eligible to vote in Federal and Provincial elections in Canada were classified by gender (male or female) and by voting preference among three major political parties (Conservative. NDP or Liberal). The results are shown in the contingency table below. Gender Gap - Voting Preferences Conservative Male 450 Female 675 Totals 1,125 NDP 340 535 875 Liberal 210 290 500 Totals 1,000 1,500 2,500 We want to find if there is a gender gap, we want to test if Gender and Voting Preferences are independent. Answer the following questions: a. Which of the following is the correct pair of the null and alternative hypotheses? (Note: Choose the number 1, 2 or 3 that shows the correct pair of hypotheses.) 1. Ho: Gender and Voting preferences are independent Hi: Gender and Voting preferences are not independent

Answer 1

		Conservative	NDP	Liberal
Male	Observed	450	340	210
	Expected	450.00	350.00	200.00
	O - E	0.00	-10.00	10.00
	(O - E)² / E	0.00	0.29	0.50
Female	Observed	675	535	290
	Expected	675.00	525.00	300.00
	O - E	0.00	10.00	-10.00
	(O - E)² / E	0.00	0.19	0.33
Total	Observed	1125	875	500
	Expected	1125.00	875.00	500.00
	O - E	0.00	0.00	0.00
	(O - E)² / E	0.00	0.48	0.83

Answers:

a) 1

b) 2

c) 2

d) Critical value= 5.991

e) Test Statistic= 1.310

f) 2

g) 1

Please do the comment for any doubt. Thank You!