Standard Error Estimates for the September 2011 CPS Volunteer Supplement
This appendix reproduces a spreadsheet supplied by the Corporation for National and Community Service indicating the standard errors and confidence intervals under two scenarios for the Current Population Survey (CPS) Volunteer Supplement. Under the first one, the statistics for the usual full sample are shown; under the second one, the statistics are shown for what they would be if the sample were reduced to one-half of the full size.
Estimates of Standard Errors for CPS Volunteer Supplement for Full Sample Size and One-Half Sample Size
Statea | Number of Responding Persons | Proportion of Persons Who Volunteer | Standard Error (of proportion)—full sample | Confidence Interval for Proportion (+/-)—full sample | Standard Error—half sample | Confidence Interval (+/-)—half sample |
UT | 1514 | 40.91% | 2.66% | 4.38% | 3.77% | 6.20% |
ID | 1540 | 38.99% | 2.46% | 4.04% | 3.48% | 5.72% |
IA | 2522 | 38.31% | 1.76% | 2.89% | 2.48% | 4.09% |
MN | 3150 | 38.08% | 1.02% | 1.68% | 1.44% | 2.37% |
SD | 2066 | 36.72% | 1.56% | 2.56% | 2.20% | 3.63% |
NE | 1863 | 36.70% | 1.45% | 2.39% | 2.06% | 3.38% |
KS | 1909 | 36.38% | 1.78% | 2.92% | 2.51% | 4.13% |
OR | 1950 | 36.21% | 1.73% | 2.84% | 2.45% | 4.02% |
WA | 2146 | 34.35% | 1.63% | 2.69% | 2.31% | 3.80% |
WI | 2645 | 33.99% | 1.25% | 2.05% | 1.77% | 2.90% |
AK | 1504 | 33.48% | 2.19% | 3.61% | 3.10% | 5.10% |
ME | 2353 | 32.92% | 1.51% | 2.48% | 2.13% | 3.51% |
CO | 2628 | 32.68% | 1.45% | 2.39% | 2.05% | 3.37% |
MO | 2004 | 31.99% | 1.55% | 2.55% | 2.20% | 3.61% |
VT | 1893 | 31.82% | 1.50% | 2.46% | 2.12% | 3.48% |
ND | 1553 | 30.73% | 2.46% | 4.04% | 3.47% | 5.71% |
WY | 1632 | 29.84% | 1.57% | 2.59% | 2.22% | 3.66% |
MT | 1127 | 29.67% | 2.06% | 3.38% | 2.91% | 4.79% |
NH | 2698 | 29.62% | 1.29% | 2.12% | 1.82% | 3.00% |
OK | 1431 | 29.45% | 1.75% | 2.88% | 2.47% | 4.07% |
CT | 2630 | 28.71% | 1.24% | 2.03% | 1.75% | 2.88% |
VA | 2490 | 28.56% | 1.43% | 2.35% | 2.02% | 3.33% |
MD | 2713 | 27.59% | 1.12% | 1.85% | 1.59% | 2.61% |
IL | 3645 | 27.28% | 1.00% | 1.64% | 1.41% | 2.32% |
DC | 1617 | 27.24% | 1.47% | 2.42% | 2.08% | 3.42% |
IN | 1865 | 27.14% | 1.65% | 2.72% | 2.34% | 3.84% |
OH | 3164 | 26.70% | 1.55% | 2.56% | 2.20% | 3.62% |
SC | 1590 | 26.67% | 1.45% | 2.38% | 2.05% | 3.37% |
NM | 969 | 26.65% | 2.23% | 3.66% | 3.15% | 5.18% |
DE | 1801 | 26.55% | 1.57% | 2.58% | 2.21% | 3.64% |
PA | 3554 | 26.48% | 1.01% | 1.66% | 1.43% | 2.35% |
MI | 2757 | 26.29% | 1.21% | 2.00% | 1.72% | 2.83% |
NC | 2343 | 26.28% | 1.73% | 2.84% | 2.45% | 4.02% |
GA | 2310 | 26.26% | 1.31% | 2.15% | 1.85% | 3.05% |
CA | 9786 | 25.81% | 0.73% | 1.20% | 1.03% | 1.70% |
MA | 1873 | 25.76% | 1.52% | 2.50% | 2.15% | 3.54% |
MS | 1128 | 25.63% | 2.46% | 4.04% | 3.48% | 5.72% |
AZ | 1389 | 25.51% | 1.95% | 3.21% | 2.76% | 4.53% |
RI | 1944 | 25.28% | 1.43% | 2.36% | 2.03% | 3.34% |
KY | 1872 | 25.27% | 1.65% | 2.72% | 2.34% | 3.84% |
Statea | Number of Responding Persons | Proportion of Persons Who Volunteer | Standard Error (of proportion)—full sample | Confidence Interval for Proportion (+/-)—full sample | Standard Error—half sample | Confidence Interval (+/-)—half sample |
AL | 1264 | 24.85% | 1.97% | 3.24% | 2.79% | 4.58% |
TN | 1538 | 24.73% | 1.81% | 2.98% | 2.56% | 4.21% |
TX | 5994 | 24.59% | 0.87% | 1.43% | 1.23% | 2.03% |
AR | 1198 | 23.15% | 2.41% | 3.97% | 3.41% | 5.61% |
FL | 4373 | 23.11% | 0.88% | 1.46% | 1.25% | 2.06% |
WV | 1346 | 22.70% | 1.70% | 2.80% | 2.40% | 3.95% |
NJ | 2247 | 22.57% | 1.35% | 2.22% | 1.91% | 3.14% |
NV | 1680 | 22.45% | 1.60% | 2.63% | 2.26% | 3.71% |
HI | 1791 | 20.80% | 1.41% | 2.32% | 1.99% | 3.28% |
NY | 4806 | 20.61% | 0.81% | 1.34% | 1.15% | 1.89% |
LA | 1105 | 19.20% | 1.73% | 2.85% | 2.45% | 4.03% |
aStates are listed in declining order in terms of the percentage of residents who reported volunteering.
SOURCE: Calculations provided directly to the panel by the Corporation for National and Community Service.