Citizen registration and voting varies by age and gender. The following data is
ID: 3319290 • Letter: C
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 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
52
45
97
25 to 34
83
42
125
35 to 44
86
35
121
45 to 54
104
37
141
55 to 64
100
29
129
65 to 74
66
17
83
75 and over
50
13
63
Total
541
218
759
If we want to calculate a confidence interval of the difference of two proportions, what is the standard error?
SQRT[(.5361*.4639)/97 + (.6640*.3360)/125]
.0661
SQRT[(.4987)/97 + (.4723)/125]
SQRT[(.6081*.3919)/97 + (.6081*.3919)125]
Age
Registered
Not Registered
Total
18 to 24
52
45
97
25 to 34
83
42
125
35 to 44
86
35
121
45 to 54
104
37
141
55 to 64
100
29
129
65 to 74
66
17
83
75 and over
50
13
63
Total
541
218
759
Explanation / Answer
We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34.
Age
Registered
Not Registered
Total
18 to 24
52
45
97
25 to 34
83
42
125
p1 = x1 / n1 = 52/97 = 0.5361
p2 = x2 / n2 = 83/125 = 0.6640
So the correct options is A) SQRT[(.5361*.4639)/97 + (.6640*.3360)/125]
Age
Registered
Not Registered
Total
18 to 24
52
45
97
25 to 34
83
42
125
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