Timeline for Why is the standard error of a proportion, for a given $n$, largest for $p=0.5$?
Current License: CC BY-SA 3.0
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| Jun 8, 2017 at 15:50 | history | edited | GeoMatt22 | CC BY-SA 3.0 |
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| Jun 8, 2017 at 15:39 | comment | added | GeoMatt22 | @whuber I was arguing from symmetry (i.e. in the simple "large $n$" case, the symmetric bell curve must fit into the interval, so its half-width is constrained by the tighter side, $\min[p,1-p]$) | |
| Jun 8, 2017 at 15:08 | comment | added | whuber♦ | Yes--but the other bound will be less limiting! Why don't the two effects cancel? | |
| Jun 8, 2017 at 1:20 | history | answered | GeoMatt22 | CC BY-SA 3.0 |