Vanishing of motivic cohomology with finite coefficients in negative degrees

I wonder whether the "finite coefficient version" of Beilinson-Soule conjecture i.e. the following statement holds or not.

STATEMENT:

Let $X$ be a smooth and projective scheme over a finite field $\mathbb{F}_{p}$.

Then, Bloch's higher chow group $CH_{0}(X,i,\mathbb{Z}/n)$ vanishes for $n$ satisfying (n,p) =1 and $i>2dim(X)$.

$n\in\mathbf{F}_q^\times$ ? – Chandan Singh Dalawat Dec 16 '12 at 7:28
Why don't you just say that $(p,n) = 1$, or (perhaps more usefully) that $p$ is invertible in the coefficient ring $\mathbb{Z}/n$? – S. Carnahan Dec 16 '12 at 11:34