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TABLE 2-7b Illustrative, Approximate 90 Percent Margins of Error (MOEs), Plus or Minus an Estimate of 15 Percent Poor School-Age Children from the ACS and the 2000 Census Long-Form Sample, by Population Size of Area
|
Population Size of Area |
Children Ages 5–17 |
ACS 1-Year Period Estimate 90% MOE |
ACS 3-Year Period Estimate 90% MOE |
ACS 5-Year Period Estimate 90% MOE |
2000 Long-Form Sample Estimate 90% MOE |
|
|
Total (20%of total pop.) |
Poor (15% of ages 5–17) |
|||||
|
2,500,000 |
500,000 |
75,000 |
±0.9% |
±0.5% |
±0.4% |
±0.3% |
|
1,000,000 |
200,000 |
30,000 |
±1.5 |
±0.9 |
±0.7 |
±0.4 |
|
500,000 |
100,000 |
15,000 |
±2.1 |
±1.2 |
±0.9 |
±0.6 |
|
250,000 |
50,000 |
7,500 |
±3.0 |
±1.7 |
±1.3 |
±0.9 |
|
100,000 |
20,000 |
3,000 |
±4.7 |
±2.7 |
±2.1 |
±1.4 |
|
65,000 |
13,000 |
1,950 |
±5.9 |
±3.4 |
±2.6 |
±1.7 |
|
50,000 |
10,000 |
1,500 |
±6.7 |
±3.8 |
±3.0 |
±2.0 |
|
25,000 |
5,000 |
750 |
±9.5 |
±5.4 |
±4.2 |
±2.8 |
|
20,000 |
4,000 |
600 |
±10.6 |
±6.1 |
±4.7 |
±3.1 |
|
10,000 |
2,000 |
300 |
±14.9 |
±8.6 |
±6.7 |
±4.4 |
|
5,000 |
1,000 |
150 |
(±21.1) |
±12.2 |
±9.4 |
±6.2 |
|
3,000 |
600 |
90 |
(±23.6) |
±13.6 |
±10.6 |
±7.0 |
|
1,500 |
300 |
45 |
(±18.0) |
±10.4 |
±8.0 |
±5.3 |
|
500 |
100 |
15 |
(±24.8) |
±14.3 |
±11.1 |
±9.2 |
|
NOTES: The 90 percent margin of error (MOE) is plus or minus (±) the standard error of an estimate times 1.65 (see Table 2-7a notes). The MOEs these cases, the subtraction of the MOE from the 15 percent estimate yields a negative value, which is an impossible result. Although the standard procedure for deriving the MOE is applied throughout the table, the underlying assumption of that procedure—that the sampling distribution of the estimate is approximately the normal distribution—is not applicable in these cases. |
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