  The data of four recent experiments --- conducted in Delft, Vienna, Boulder,
and Munich with the aim of refuting nonquantum hidden-variables alternatives to
the quantum-mechanical description --- are evaluated from a Bayesian
perspective of what constitutes evidence in statistical data. We find that each
of the experiments provides strong, or very strong, evidence in favor of
quantum mechanics and against the nonquantum alternatives. This Bayesian
analysis supplements the previous non-Bayesian ones, which refuted the
alternatives on the basis of small p-values, but could not support quantum
mechanics.
