Question

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 who voted for males and for females. There is no expectation that one group is more likely to vote. Gender Males Females Total Voted 217 252 399 Not Voted 147 144 361 Total 364 396 760 If we construct a 95% Confidence Interval for the difference in the proportion voting for males and females, the interval will contain zero. True False

Answer 1

The solution to this problem is given by

I's Sable Size M= n = 396 No. of voted -252 메 of voters -) ( - 1.004, 0·029). Solution Given data Males Females 364 =217 Estimated proportion Biz XI =217=0.5961 Iba : 0.6363 364 The 954: is given byl for oi-la) (for Po) ± 1.96 hall-fait de (1-10 g) » (0.5961–0"6363) † 1.96 0.596|(1–0.5961) +(0-6363)(1-0-6245) 364 0.0692 (-00402 -0.0698,-0.0409+0.0692) Xg re 252 396 CI n na 396 -0.0402 t Thus the confidence interval contains Zero, Hence the ameel is Aus- TRUE TRUE!