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A hypothesis which is not simple (i.e. in which not all of the parameters are specified) is called a composite hypothesis.For instance, if we hypothesize that (and) or and, the hypothesis becomes a composite hypothesis because we cannot know the exact distribution of the population in either case. Obviously, the parameters and have more than one value and no specified values are being assigned. The general form of a composite hypothesis is or, that is the parameter does not exceed or does not fall short of a specified value. The concept of simple and composite hypotheses applies to both null hypothesis and alternative hypothesis.


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Q: What is composite hypothesis?
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