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What is a Simple vs complex?

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Anonymous

13y ago
Updated: 1/20/2022

A simple hypothesis is one in which all parameters of the distribution are specified. For example, if the heights of college students are normally distributed with, the hypothesis that its mean is, say,, that is , we have stated a simple hypothesis, as the mean and variance together specify a normal distribution completely. A simple hypothesis, in general, states that where is the specified value of a parameter, ( may represent etc).

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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Richard Grimes

Lvl 10
3y ago

What else can I help you with?