We report on-off intermittency in electroconvection of nematic liquid cryst
als driven by a dichotomous stochastic electric voltage. With increasing vo
ltage amplitude we observe laminar phases of undistorted director state int
errupted by shorter bursts of spatially regular stripes. Near a critical va
lue of the amplitude the distribution of the duration of laminar phases is
governed over several decades by a power law with exponent -3/2. The experi
mental findings agree with simulations of the linearized electrohydrodynami
c equations near the sample stability threshold.