Question

4. There has long been an analogy between hypothesis testing and court proceedings. Explain how the presumption of innocence during a trial could possibly be related to hypothesis testing in statistics.

Answer 1

In testing of hypothesis we take a null hypothesis which is in neutral manner( i.e, unbiased)

That means we take null hypothesis as no change in difference.. If we want to reject null hypothesis we need to have sufficient evidence against it in our sample.

Likewise court trail take a person not guilty during the trail period.. If that is to be rejected then we need to have sufficient evidence against that person.

In testing of hypothesis we have two type of errors. Type 1 error is , we rejecting null hypothesis but actually it is true. Type two error is we accepting null hypothesis but it is actually wrong.

Similarly there is a chance of aquittal (accepting innocent) but actually the person is guilty which related to type two error of testing of hypothesis. And there is a chance for rejecting the person is innocent actually the person is innocent which relates type one error of testing of hypothesis

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