Description
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?
Explanation & Answer
How is the rejection region defined and how is that related to the z-score and the p value?.
The rejection region is the range of values that, under a specified confidence level, it is impossible for the null hypothesis to be a valid answer. Using the z-score from the given data, you find the level of possibility (the p value) for a given value at H-zero, and if that p is less than the threshold specified in the problem (usually as α=0.05), then H-zero is rejected.
If p is greater than that line, then
there is a possibility that H-zero can be possible, not proven true, but
accepted as a possibility.
Statisticians find this kind of
hypothesis testing as a key part of the scientific method. If a
hypothesis can be proven false in the math on the drawing board, it can
save a lot of money in the testing stage.
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