Now that we have a good understanding, let’s turn back to our example of the judge’s decision. To review, the null hypothesis is that the person is innocent, the alternative hypothesis is guilty. The judge does not have enough evidence, in our statistical terms, the observations from the court proceedings do not convince the judge to be far enough “away” from a verdict of innocent to reject the presumption of innocence. Therefore she cannot reject the null hypothesis of being innocent, hence her verdict. Justice served?
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