A polling firm randomly surveys 230 registered voters across the United States.

Question

A polling firm randomly surveys 230 registered voters across the United States. Two of the survey questions ask respondents to state their gender (male or female) and their political affiliation (democrat, republican, independent, or other). The results of this survey are shown in the table below.

Find the (standardized) residual for the female with Republican as their political affiliation. (Round your answers to three decimal places.)  

Democrat Republican Independent Other Totals Female 68 44 22 4 138 Male 34 21 31 6 92 Totals 102 65 53 10 230

Explanation / Answer

here expected vlaue of female with Republican as their political affiliation

Ei =row total*column total/grand total =65*138/230=39

hence standardized) residual =(Oi-Ei)/sqrt(Ei)=(44-39)/sqrt(39)=0.801

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