One-sided significance test: essay - key questionFor an essay on the one-sided significance test, I have considered the following structure:First, generally describe the one-sided test (such as an introduction, setting up the hypotheses, decision rule), then describe the errors more accurately, then write an example and finally make a comparison between the two-sided significance test and the alternative test with the one-sided significance test.Is that a good structure or could we improve it? The structure should be such that the level is always higher, it should be divided into three requirement areas.In addition, I am looking for a key question. I thought something like, "How do we know how much we're wrong if we don't reject H 0 ?", and describe in the answer the probability of error? Or is that wrong? Or is that not suitable as a key question?

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One-sided significance test: essay - key questionFor an essay on the one-sided significance test, I have considered the following structure:First, generally describe the one-sided test (such as an introduction, setting up the hypotheses, decision rule), then describe the errors more accurately, then write an example and finally make a comparison between the two-sided significance test and the alternative test with the one-sided significance test.Is that a good structure or could we improve it? The structure should be such that the level is always higher, it should be divided into three requirement areas.In addition, I am looking for a key question. I thought something like, &quot;How do we know how much we&#039;re wrong if we don&#039;t reject       H    0  ?&quot;, and describe in the answer the probability of error? Or is that wrong? Or is that not suitable as a key question?

robegarj · Accepted Answer

I would suggest the usual way to approach hypothesis-testsFormulation of the hypothesis       H    0  .Formulation of the alternative hypothesis       H    1  Choosing a maximum probability for the error of first kind denoted   αChoosing a critical range   B with the property that an occurence in   B has probability at most α assuming       H    0   is true.Deciding whether the observed value lies in B. If it is, we assume       H    1  . If it is not, we have no reason to reject       H    0  .As a key-question the probability to make an error of the second kind is a good one, but the exact probability distribution should be given so that the probability can actually be calculated.Another possibility for a key question : Would it affect the decision, if we used a two-sided test rather than a one-sided-test ?

One-sided significance test: essay - key question For an essay on the one-sided significance test,

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