3 discussion questions and 3 student responses

MAT 300: Statistics

Week 8 Discussion

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Debate if “failing to reject the null” is the same as “accepting the null.” Support your position with examples of acceptance or rejection of the null.

Part B: Student Response

Alexis Rist

RE: Week 8 Discussion

Professor and class,

I do not believe that they are the same. Failing to reject the null hypothesis is when you do not have enough evidence to reject its statement or prove it wrong. Accepting the null means that you should act is the null hypothesis as true. The null hypothesis is a test where you are going to look at two propositions, the null hypothesis and the alternative. Think about it in terms of a court case, innocent until proven guilty. The hypothesis test is the trail, the null hypothesis is the dependent, and the alternative hypothesis is the prosecution. If there is evidence presented that does not prove the defendant guilty beyond a reasonable doubt than you still have not proved the defendant is innocent. But, based on the evidence you can't reject that possibility. If the verdict enters the court records as not guilty that doesn't mean the defendant is innocent, because the prosecution couldn't prove it's case to the necessary, beyond reasonable doubt standard. It did not convince the judge to abandon the assumption of innocence.

Hope that helps someone understand it,

Lexie

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