Claims that entanglement, or non-local interaction ("spooky action-at-a-distance), has been experimentally proven are false. The claims are based entirely on the fact that the results of experiments performed to test that issue (EPR-Bohm experiments) violate various theoretical inequalities (Bell Inequalities).
The various Bell Inequalities used to interpret the results of EPR-Bohm experiments are shown to be inappropriate for such experiments. The inequalities do not correctly provide for the correlation between the particles in each pair, which is the essence of such experiments; and therefore the inequalities are irrelevant. Claims that the results of such experiments, because they violate the inequalities, require the conclusion that the measurement of one particle in an "entangled" pair can instantly affect the state of its partner, even at great distances, are untrue and need to be modified.