I've recently been learning about Bell's Theorem and test experiments (e.g. as described here) and feel I understand why they imply that we cannot have local hidden variables.
However, I have heard some people say that these experiments also prove the universe is nondeterministic (that the state of the universe at time $t+1$ is not a function of its state at time $t$). I don't see why this is the case -- can't we have nonlocality and also determinism?
What, if any, experiments have we performed that would indicate the universe is nondeterministic?