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Q&A Notation for one-sided hypothesis testing

1 answer  ·  posted 2y ago by tommi‭  ·  last activity 1y ago by Glen_b‭

#1: Initial revision by user avatar tommi‭ · 2022-05-30T11:36:06Z (over 2 years ago)
Notation for one-sided hypothesis testing
I see the following notation for one-sided hypothesis testing:

* $H_0$: $K = 2$
* $H_1$: $K > 2$

I would find it more natural to write:

* $H_0$: $K \le 2$
* $H_1$: $K > 2$

Assume a situation where $K$ is not, by definition, limited to equal or be higher than two. $K$ is just a dummy variable and 2 a dummy number.

Where does the first notation come from and why is it in use?