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# Explaining 6 Basic Statistics Questions on Hypothesis Testing

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I am just wanting someone to see if answered these word questions correctly. My book isn't exactly to the direct point. I understand if your unable to.

Which of the following accurately describes the critical region?
* outcomes with a high probability if the null hypothesis is true
* outcomes with very low probability if the null hypothesis is true (this is the one i selected?)
* outcomes with a high probability whether or not the null hypothesis is true
* outcomes with a very low probability whether or not the null hypothesis is true

with o= .05, how are the boundaries for the critical region determined?
* boundaries are drawn so there is 5% (0.5) in the center of the distribution
* boundaries are drawn so there is 5 % (.05) in each tail (this is what i chose, but i am torn between it and the 2.5% because of each tail?)
* boundaries are drawn so there is 2.5% (.025) in each tail
* boundaries are drawn so there is 10% (.10) in each tail of the distribution

If a hypothesis test produces a z score in the critical region, what decision should me made?
*fail to reject the null hypothesis
* fail to reject the alternative hypothesis
* reject the alternative hypothesis
* reject the null hypothesis (this is the one i had chosen?)

A sample of n= 25 individuals is selected from a population with u=80 and a treatment is administered to the sample. what is expected if the treatment has no effect?
* the sample mean should be very different from 80 and should lead you to fail to reject the null hypothesis
* the sample mean should be close to 80 and should lead you to fail to reject the null hypothesis
* the sample mean should be very different from 80 and should lead you to reject the null hypothesis
* the sample mean should be close to 80 and should lead you to reject the null hypothesis. ( this is the one that i had chosen?)

which of the following is an accurate definition of a type 1 error?
* rejecting a false null hypothesis
* rejecting a true null hypothesis (this is the one i had chosen?)
* failing to reject a false null hypothesis
* failing to reject a true null hypothesis

which of the following is an accurate definition of a type II error?
* rejecting a true null hypothesis
* rejecting a false null hypothesis
* failing to reject a true null hypothesis
* failing to reject a false null hypothesis ( this is the one i had chosen?)

https://brainmass.com/statistics/hypothesis-testing/explaining-6-basic-statistics-questions-on-hypothesis-testing-584649

#### Solution Preview

Which of the following accurately describes the critical region?
outcomes with very low probability if the null hypothesis is true

with o= .05, how are the boundaries for the critical region ...

#### Solution Summary

The solution gives detailed steps on explaining 6 basic statistics questions including hypothesis testing, type 1 error, type 2 error and critical region.

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