  We propose an experiment to probe the unconventional quantum statistics of
quasi-particles in fractional quantum Hall states by measurement of current
noise. The geometry we consider is that of a Hall bar where two quantum point
contacts introduce two interfering amplitudes for back-scattering. Thermal
fluctuations of the number of quasi-particles enclosed between the two point
contacts introduce current noise, which reflects the statistics of the
quasi-particles. We analyze abelian $\nu=1/q$ states and the non-abelian
$\nu=5/2$ state.
