Solve Your Statistical Problems with Simple and Composite Hypothesis Homework Help
Simple hypothesis:
In order to explain simply, a simple hypothesis is one where all parameters of the distribution are specified. For example, if the heights of the school students are generally distributed with s2 = 4, the hypothesis that it’s mean, µ, is say, 62”, that is Ho : µ = 62.
This is a simple hypothesis as the mean and variance both of them together specify a normal distribution. In general a simple hypothesis indicates that ϴ = ϴo, where, ϴo is the specified value of the parameter ϴ, where ϴmay indicate µ, ρ, µ1 – µ2 etc. You can answer all your queries through simple and composite hypothesis assignment help.
Composite hypothesis:
Alternatively, a hypothesis which is not simple is called a composite hypothesis. For example, if we consider that Ho: µ > 62 and s2 = 4 or Ho : µ = 62 and s2 = 4, then this hypothesis becomes a composite hypothesis. In this case, the exact distribution of the population is not known in both the cases.
The common form of composite hypothesis is ϴ ≤ ϴo, or ϴ ≥ ϴo. it means that the parameter ϴ does not exceed beyond or does not fall short of the specified value ϴo. This concept of simple and composite hypothesis is applicable to both alternative hypothesis and null hypothesis.
These statistical hypothesis may sound complicated at the beginning. We, the myhomeworkhelp.com, with our prolonged effort have been successful in lending support with simple and composite hypothesis homework help.
Want to know the difference between simple and composite hypothesis?
- A simple hypothesis specifies the distribution completely; whereas a composite hypothesis does not.
- When you want to test a simple null hypothesis with a composite alternative, the power of the test will be the function of the parameter of interest.
- Along with it, the power also varies by the sample size and thus gets affected.
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