These experiments provide evidence against local hidden variables. The experiments are silent about theories that involve non-local hidden variables. The act

These experiments provide evidence against local hidden variables. The experiments are silent about theories that involve non-local hidden variables. The act of measuring one particle of an entangled pair instantly affects the other particle, instead of this effect needing to propagate at or below the speed of light; this instant interaction ("spooky action at a distance") is incompatible with local hidden variables. As other folks have mentioned, look up Bell's inequalities for more information. Also, it should be noted that quantum entanglement does not allow information to travel faster than light.