3. 12 points 012 Submissions Used My A polling firm randomly survays 210 registe

Question

3. 12 points 012 Submissions Used My A polling firm randomly survays 210 registered voters across the United States. Two of the survey questions ask respondents to state their gender (male or femala) and their poltical affiliation (democrat, republican, indepcndent, or other). The resuits of this survey are shown in the table below Female Male Totals Democrat Republican Independent Other Totals 3 124 31 686 52 9 210 (a) Supposc we would like to perform a chi-square test to se fgender and affillation are associated. Usea-0.05. What are the degrees of freedom for this teat? (b) Find the (standardized) residual for the female with Independent as their political afriliation. (Round your answers to three decimal places.) (c) The residual shows that there were (d) Given p-value is 0.003, what is the statistical decision? ! females than expected. - Reject H0 and conclude that gender and political affiliation are independent. O Reject Ho and conclude that gender and political affiliation are associated. ODo not reject Ho and conclude that gender and political affilation are associaterd Do not reject Ho and conclude that gender and political amlation are independent.

Explanation / Answer

a)degree of freedom =(row-1)*(column-1) =(2-1)*(4-1)=3

b) as expected value for femlae with independent =row total*column total/grand total =(52*124)/210=30.705

threfore residual =(O-E)/(E)1/2 =(21-30.705)/(30.705)1/2 =-1.751

c)less

d)reject Ho and conclude that gender and political affiliation are associated

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