confidence interval given by prop.test()

Dear R-help,

prop.test(9, 137, p=0.066)

prop.test(9, 137, p=0.05)

give two different 95% confidence intervals.
I thought the confidence interval calculation
should be independent of testing calculations (and thus
the null hypothesis)?

You can transform a two sided test problem into a confidence interval
and vice versa.
Why should the confidence intervals be the same for different
probabilities of success in this case?

Splus 2000 has similar problems but give slightly different
answer.

Uwe Ligges
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