All experiments involving quantum theory affirm the mathematics, but are interpreted differently based on how one translates the mathematics into physical reality.
For example, in Everettian interpretations there is no fundamental randomness. There is a universal wave function evolving continuously and deterministically, but decoherence processes lead to the appearance of randomness.
In some Copenhagen type interpretations it only makes sense to talk about a wavefunction in the context of the system it describes, and there is a real physical collapse of the system's wavefunction which results in genuine fundamental randomness.
Still other interpretations are agnostic about whether randomness is fundamental or merely apparent.
No experiment to date has proved the supremacy of one class of these interpretations over the others.
For example, in Everettian interpretations there is no fundamental randomness. There is a universal wave function evolving continuously and deterministically, but decoherence processes lead to the appearance of randomness.
In some Copenhagen type interpretations it only makes sense to talk about a wavefunction in the context of the system it describes, and there is a real physical collapse of the system's wavefunction which results in genuine fundamental randomness.
Still other interpretations are agnostic about whether randomness is fundamental or merely apparent.
No experiment to date has proved the supremacy of one class of these interpretations over the others.