  Correlations for the Bell gedankenexperiment are constructed using
probabilities given by quantum mechanics, and nonlocal information. They
satisfy Bell's inequality and exhibit spatial non stationarity in angle.
Correlations for three successive local spin measurements on one particle are
computed as well. These correlations also exhibit non stationarity, and satisfy
the Bell inequality. In both cases, the mistaken assumption that the underlying
process is wide-sense-stationary in angle results in violation of Bell's
inequality. These results directly challenge the wide-spread belief that
violation of Bell's inequality is a decisive test for nonlocality.
