Alternative Hypothesis/Examples
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Examples of Alternative Hypothesis
Arbitrary Example
Let $\delta$ be a hypothesis test.
Let $H_0$ and $H_1$ be the null hypothesis and alternative hypothesis of $\delta$ respectively.
Let $\theta$ be the test statistic which is being used to determine whether $H_0$ or $H_1$ holds.
Let the null hypothesis state that $T = 2$:
- $H_0: \theta = 2$
The alternative hypothesis may be, for example:
- $H_1: \theta \ne 2$
or that:
- $H_1: \theta > 2$