On Mon, 10 Dec 2001 12:57:29 -0400, Gus Gassmann
<[EMAIL PROTECTED]> wrote:

> Art Kendall wrote:
> 
> (putting below the previous quotes for readability)
> 
> > Gus Gassmann wrote:
> >
> > > Dennis Roberts wrote:
> > >
> > > > this is pure speculation ... i have yet to hear of any convincing case
> > > > where the variance is known but, the mean is not
> > >
> > > What about that other application used so prominently in texts of
> > > business statistics, testing for a proportion?
> 
> > the sample mean of the dichotomous (one_zero, dummy) variable is known, It
> > is the proportion.
GG > 
> Sure. But when you test Ho: p = p0, you know (or pretend to  know) the
> population variance. So if the CLT applies, you should use a z-table, no?
> 

That is the textbook justification for chi-squared and z  tests
in the sets of 'nonparametric tests'  which are based on 
rank-order transformations and dichotomizing.

The variance is known, so the test statistic has the shorter tails.
(It works for ranks when you don't have ties.)

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html


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