Question 23 3 pts Citizen registration and voting varies by age and gender. The

Question

Question 23 3 pts Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducted of adults eligible to vote. The respondents were asked in they registered to vote. The data below are based on a total sample of 760. We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. The expectation is that registration is lower for the younger age group. The data are given below. Age Registered Not Registered Total 18 to 24 25 to 34 35 to 44 45 to 54 55 to 64 65 to 74 75 and over 52 83 86 104 100 45 42 35 37 29 17 13 218 97 125 121 141 129 83 63 759 50 541 Total If we want to conduct a hypothesis test for the difference of the proportion registered for 18 to 24 compared with 25 to 34, and this difference is equal to zero, what is the standard error? SQRT[(.6081 .3919)/97+(6081 3919)125] 0659 SQRTIL4882)/97+(.4882)/125 SQRTI(.5361 4639)/97 +(.6640*.3360)/125)

Explanation / Answer

1)

here pooled proportion p=(X1+x2)/(n1+n2)=(52+83)/(97+125)=0.6081

theefore std error =sqrt(p*(1-p)*(1/n1+1/n2)) =sqrt[(0.6081*0.3919)/97+(0.6081*0.3919)/125]

2)

True

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