[R] Trying to understand kpss.test() in tseries package

[Waichler, Scott R]

I'm trying to understand how to use kpss.test() properly.  If I have a
level stationary series like rnorm() in the help page, shouldn't I get a
small p-value with the null hypothesis set to "Trend"?  The (condensed)
output from kpss.test() for the two possible null hypotheses is given
below.  I don't see any significant difference between these results.  

> x <- rnorm(1000)  # is level stationary
> kpss.test(x, null="Level")
        KPSS Test for Level Stationarity
KPSS Level = 0.0638, Truncation lag parameter = 7, p-value = 0.1
Warning:  p-value greater than printed p-value

> kpss.test(x, null="Trend")
        KPSS Test for Trend Stationarity
KPSS Trend = 0.0275, Truncation lag parameter = 7, p-value = 0.1
Warning:  p-value greater than printed p-value

I can't get the original reference easily.

Scott Waichler
Pacific Northwest National Laboratory
scott.waichler at pnl.gov