  We derive inequalities for $n$ spin-1/2 systems under the assumption that the
hidden-variable theoretical joint probability distribution for any pair of
commuting observables is equal to the quantum mechanical one. Fine showed that
this assumption is connected to the no-hidden-variables theorem of Kochen and
Specker (KS theorem). These inequalities give a way to experimentally test the
KS theorem. The fidelity to the Bell states which is larger than 1/2 is
sufficient for the experimental confirmation of the KS theorem. Hence, the
Werner state is enough to test experimentally the KS theorem. Furthermore, it
is possible to test the KS theorem experimentally using uncorrelated states. An
$n$-partite uncorrelated state violates the $n$-partite inequality derived here
by an amount that grows exponentially with $n$.
