Exercise 4 In a random sample of 1,000 voters in Neverland, each individual was
ID: 3321544 • Letter: E
Question
Exercise 4 In a random sample of 1,000 voters in Neverland, each individual was asked to name the issue that is most important to them in the upcoming presidential election. The individuals were also classified by party affiliation. The results were as follows: Most Important Issue Wealth Climate Change 60 31 Party TerrorismDistribution Affiliation Democrat Republican Independent Economy 193 176 31 400 135 129 36 300 112 64 24 200 Total 500 400 100 1000 Total 100 We wish to test whether political party affiliation and the most important issue are independent. (a) Calculate the value of the apporpriate test statistic. (b) Calculate the p-value (approximately) of the apporpriate test statistic, and your statistical decision using a 5% significance level.Explanation / Answer
here we will apply chi square test on above data:
null hypothesis: Ho: political party affliation and most important issues are independent
Alternate hypothesis:Ha:political party affliation and most important issues are independent.
applying chi square test of independence:
a)
from abvoe test statistic =16.81
b) degree of freedom =(row-1)*(column-1)=(3-1)*(4-1)=6
for 6 df and abvoe test statistic ; p value =0.0100 ; as p value is less than 0.05 level we reject null hypothesis and conclude that party affliation and most important issues are independent.
O economy terrorism Wealth Climate change Total Democrat 193 135 112 60 500 republican 176 129 64 31 400 Independent 31 36 24 9 100 Total 400 300 200 100 1000 E=rowtotal*column total/grand total economy terrorism Wealth Climate change Total Democrat 200.000 150.000 100.000 50.000 500 republican 160.000 120.000 80.000 40.000 400 Independent 40.000 30.000 20.000 10.000 100 Total 400 300 200 100 1000 =(O-E)^2/E economy terrorism Wealth Climate change Total Democrat 0.2450 1.5000 1.4400 2.0000 5.185 republican 1.6000 0.6750 3.2000 2.0250 7.500 Independent 2.0250 1.2000 0.8000 0.1000 4.125 Total 3.870 3.375 5.440 4.125 16.8100Related Questions
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