Wolfgang,
Even if we use a binomial prob. value of 0.5 (under null hypothesis), we will
get 3.5% error at 95% CI. Maybe, they are rounding up to 4%!
Siddeek

Wolfgang Rolke wrote:

> Today the following polling results were given on cnn.com for the
> Presidential race:
>
> CNN/USA TODAY/GALLUP POLL
>                   October 20-22
>                   Likely Voters' Choice for President
>                   Bush      46%
>                   Gore      44%
>                   Nader      4%
>                   Buchanan   1%
>                   Sampling error: +/-4% pts
>                  Sample size: 769
>
> For details go to
> http://www.cnn.com/2000/ALLPOLITICS/stories/10/23/tracking.poll/index.html
>
> I am wondering how they find the Sampling error of +/-4% pts. The usual
> estimate for the standard error of a binomial would be (for Bush)
>
> SQRT(0.46*(1-0.46)/769) = 0.01797
>
> The error in a 95% CI would then be 1.96*0.01797 = 3.5%
>
> and in a 99% CI it would be 2.576*0.01797 = 4.6%
>
> Am I doing something wrong here?
>
> Thanks
>
> Wolfgang
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