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Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample.

For Confidence level c, and the critical value of Zc is the number such that the area under the statndard normal curve between -Zc and Zc equals C.

n > (zcσ/E)2

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Q: When determining the necessary sample size for hypothesis testing of means for a specified level of confidence and margin of error the minimum sample size is given by which?
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What is a Simple vs complex hypothesis?

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.


What is composite hypothesis?

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What is a Simple vs complex?

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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