You're mixing up concepts. You want an experiment that can falsify the hypothesis, because if it can't it's worthless. That doesn't mean you don't run the exper

You're mixing up concepts. You want an experiment that can falsify the hypothesis, because if it can't it's worthless. That doesn't mean you don't run the experiment to give evidence to the hypothesis. So in the LHC case the hypothesis is "the Higgs exists and it's energy is X". Then they run the experiment and get evidence that says "there is a very high probability that there is a particle with energy X" and so their initial hypothesis is considered proven. If you don't like the word proven, then they conclude it's extremely unlikely to be false.