  Bell inequalities (BIs) derived in terms of quantum probability statistics
are extended to general bipartite-entangled states of arbitrary spins with
parallel polarization. The original formula of Bell for the two-spin singlet is
slightly modified in the parallel configuration, while, the inequality for-
mulated by Clauser-Horne-Shimony-Holt remains not changed. The violation of BIs
indeed resulted from the quantum non-local correlation for spin-1=2 case.
However, the inequalities are always satisfied for the spin-1 entangled states
regardless of parallel or antiparallel polarizations of two spins. The spin
parity effect originally demonstrated with the antiparallel spin-polarizations
(Mod. Phys. Lett. B28, 145004) still exists for the parallel case. The quantum
non-locality does not lead to the violation for integer spins due to the
cancellation of non-local interference effects by the quantum
statistical-average. Again the violation of BIs seems a result of the
measurement induced nontrivial Berry-phase for half-integer spins.
