- A central theme in quantum mechanics is nonlocality, which states that a pair of quantum systems which are shown not to be physically interacting may nevertheless be impossible to describe as independent entities. Quantum theory, however, forbids nonlocal correlations beyond a certain limit. Why is nature only so nonlocal and not more? Approaching the question from the direction of statistics and statistical inference, we identify a statistical no- signaling principle which states that no information may pass through a disconnected channel. We show this principle to be equivalent to the Tsirelson bound on nonlocality for the Bell--CHSH inequality.