Rejection regions

Statistics, Tales from the Classroom 1 Minute

Sage words of wisdom that I gave one day in my statistics class:

If the alternative hypothesis has the form p > p_0, then the rejection region lies to the right of p_0. On the other hand, if the alternative hypothesis has the form p < p_0, then the rejection region lies to the left of p_0.

On the other hand, if the alternative hypothesis has the form p \ne p_0, then the rejection region has two parts: one part to the left of p_0, and another part to the right. So it’s kind of like my single days. Back then, my rejection region had two parts: Friday night and Saturday night.

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Published by John Quintanilla

I'm a Professor of Mathematics and a University Distinguished Teaching Professor at the University of North Texas. For eight years, I was co-director of Teach North Texas, UNT's program for preparing secondary teachers of mathematics and science.

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