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)?

Splus 2000 has similar problems but give slightly different
answer.

Using R1.3.0 on windows.

Mai Zhou
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