Using this data set What is the standard error of the relevant distribution? Ignoring that the number of men in the 2012 Survey was about 17,675, and the number of women was about 18,634, assume the samples were 100 men and 100 women in each Survey My worked solution is:  P1: men proportion change = 15.5/100 = 0.155 N1 = 100 P2: women proportion change = 57.9/100 = 0.579 N2 = 100 {[0.155 * (1 - 0.155) /] + [0.579 * (1 - 0.579) / 100]} = 0.0037 Standard Error = 0.0037 is this correct?

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Using this data set

What is the standard error of the relevant distribution? Ignoring that the number of men in the 2012 Survey was about 17,675, and the number of women was about 18,634, assume the samples were 100 men and 100 women in each Survey

My worked solution is: 

P1: men proportion change = 15.5/100 = 0.155

N1 = 100

P2: women proportion change = 57.9/100 = 0.579

N2 = 100

{[0.155 * (1 - 0.155) /] + [0.579 * (1 - 0.579) / 100]} = 0.0037

Standard Error = 0.0037

is this correct? 

Table 2. Prevalence of and Percentage Change in 12-Month High-Risk Drinking by Sociodemographic
Characteristics, 2001-2002 and 2012-2013
% (95% CI)
NESARC 2001-2002
NESARC-III 2012-2013
Sociodemographic Characteristic
(n= 43 093)
9.7 (9.3-10.2)
(n = 36 309)
12.6 (12.0-13.2)
% Change
Total
29.9
Sex
Men
14.2 (13.4-14.9)
16.4 (15.7-17.3)*
15.5
Women
5.7 (5.3-6.1)
9.0 (8.4-9.7)"
57.9
Race/ethnicity
10.0 (9.6-10.5)
12.3 (11.6-13.0)
15.1 (14.0-16.2)
White
23.0
Black
9.3 (8.4-10.4)
62.4
Native American
12.4 (9.6-15.8)
17.4 (13.6-22.1)
40.3
Asian or Pacific Islander
4.6 (3.5-6.0)
7.2 (6.0-8.8)
56.5
Hispanic
9.6 (8.8-10.6)
13.5 (12.5-14.6)
40.6
Age, y
18-29
16.9 (15.7-18.2)
19.3 (18.0-20.6)
14.2
30-44
10.8 (10.1-11.6)
14.8 (14.0-15.7)*
37.0
45-64
7.5 (6.9-8.2)
11.2 (10.5-12.1)*
49.3
265
2.3 (1.9-2.8)
3.8 (3.2-4.4)
65.2
Marital status
Married or cohabiting
9.8 (9.2-10.5)
12.0 (11.1-13.0)
20.3 (19.1-21.5)
7.3 (6.8-7.8)
34.2
Widowed, divorced, or separated
9.1 (8.3-9.9)
31.9
Never married
17.4 (16.3-18.6)
16.7
Educational level
Less than high school
9.5 (8.5-10.6)
12.8 (11.6-14.0)
34.7
High school
10.4 (9.6-11.1)
14.8 (13.9-15.9)
42.3
Some college or higher
9.5 (9.0-10.0)
11.6 (10.9-12.4)
22.1
Family income, $
15.0 (13.9-16.3)
12.6 (11.7-13.7)
12.9 (12.1-13.7)
0-19999
11.1 (10.3-12.0)
35.1
20000-34 999
10.3 (9.5-11.2)
22.3
35 000-69 999
9.3 (8.7-10.1)
38.7
270000
8.4 (7.7-9.2)
10.5 (9.7-11.4)
25.0
Poverty threshold, %
14.2 (12.9-15.5)
12.7 (11.7-13.7)
12.1 (11.4-12.7y
<100
11.8 (10.8-13.0)
20.3
100-200
9.7 (8.9-10.7)
30.9
>200
9.3 (8.8-9.8)
30.1
Urbanicity
Urban
9.7 (9.2-10.3)
13.1 (12.5-13.7)
35.1
Rural
9.6 (8.9-10.5)
10.8 (9.9-11.8)
12.5
Region
Northeast
9.3 (8.1-10.7)
12.2 (11.5-12.9)*
31.2
14.7 (12.9-16.6)
12.1 (11.1-13.1)
Midwest
11.2 (10.2-12.3)
31.3
South
9.0 (8.4-9.7)
34.4
West
9.7 (8.9-10.5)
11.8 (11.0-12.7)*
21.6
Transcribed Image Text:Table 2. Prevalence of and Percentage Change in 12-Month High-Risk Drinking by Sociodemographic Characteristics, 2001-2002 and 2012-2013 % (95% CI) NESARC 2001-2002 NESARC-III 2012-2013 Sociodemographic Characteristic (n= 43 093) 9.7 (9.3-10.2) (n = 36 309) 12.6 (12.0-13.2) % Change Total 29.9 Sex Men 14.2 (13.4-14.9) 16.4 (15.7-17.3)* 15.5 Women 5.7 (5.3-6.1) 9.0 (8.4-9.7)" 57.9 Race/ethnicity 10.0 (9.6-10.5) 12.3 (11.6-13.0) 15.1 (14.0-16.2) White 23.0 Black 9.3 (8.4-10.4) 62.4 Native American 12.4 (9.6-15.8) 17.4 (13.6-22.1) 40.3 Asian or Pacific Islander 4.6 (3.5-6.0) 7.2 (6.0-8.8) 56.5 Hispanic 9.6 (8.8-10.6) 13.5 (12.5-14.6) 40.6 Age, y 18-29 16.9 (15.7-18.2) 19.3 (18.0-20.6) 14.2 30-44 10.8 (10.1-11.6) 14.8 (14.0-15.7)* 37.0 45-64 7.5 (6.9-8.2) 11.2 (10.5-12.1)* 49.3 265 2.3 (1.9-2.8) 3.8 (3.2-4.4) 65.2 Marital status Married or cohabiting 9.8 (9.2-10.5) 12.0 (11.1-13.0) 20.3 (19.1-21.5) 7.3 (6.8-7.8) 34.2 Widowed, divorced, or separated 9.1 (8.3-9.9) 31.9 Never married 17.4 (16.3-18.6) 16.7 Educational level Less than high school 9.5 (8.5-10.6) 12.8 (11.6-14.0) 34.7 High school 10.4 (9.6-11.1) 14.8 (13.9-15.9) 42.3 Some college or higher 9.5 (9.0-10.0) 11.6 (10.9-12.4) 22.1 Family income, $ 15.0 (13.9-16.3) 12.6 (11.7-13.7) 12.9 (12.1-13.7) 0-19999 11.1 (10.3-12.0) 35.1 20000-34 999 10.3 (9.5-11.2) 22.3 35 000-69 999 9.3 (8.7-10.1) 38.7 270000 8.4 (7.7-9.2) 10.5 (9.7-11.4) 25.0 Poverty threshold, % 14.2 (12.9-15.5) 12.7 (11.7-13.7) 12.1 (11.4-12.7y <100 11.8 (10.8-13.0) 20.3 100-200 9.7 (8.9-10.7) 30.9 >200 9.3 (8.8-9.8) 30.1 Urbanicity Urban 9.7 (9.2-10.3) 13.1 (12.5-13.7) 35.1 Rural 9.6 (8.9-10.5) 10.8 (9.9-11.8) 12.5 Region Northeast 9.3 (8.1-10.7) 12.2 (11.5-12.9)* 31.2 14.7 (12.9-16.6) 12.1 (11.1-13.1) Midwest 11.2 (10.2-12.3) 31.3 South 9.0 (8.4-9.7) 34.4 West 9.7 (8.9-10.5) 11.8 (11.0-12.7)* 21.6
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