  Using the CLEO II detector at the Cornell Electron Storage Ring we have
measured the $\Xi_c^{0}$ decay asymmetry parameter in the decay $\Xi_c^{0} \to
\Xi^{-} \pi^+$. We find $\alpha_{\Xi_c^{0}} \alpha_{\Xi} = 0.26 \pm
0.18{(stat)}^{+0.05}_{-0.04}{(syst)}$, using the world average value of
$\alpha_{\Xi} = -0.456 \pm 0.014$ we obtain $\alpha_{\Xi_c^{0}} = -0.56 \pm
0.39{(stat)}^{+0.10}_{-0.09}{(syst)}$. The physically allowed range of a decay
asymmetry parameter is $-1<\alpha<+1$. Our result prefers a negative value:
$\alpha_{\Xi_c^{0}}$ is $<0.1$ at the 90% CL. The central value occupies the
middle of the theoretically expected range but is not yet precise enough to
choose between models.
