13.3 m NULL hypotheses

$$H_{01},...,H_{0m}$$

If we reject all NULL hypotheses with p-value < 0.01

How many type I error are to expect?

Example

1. $p-value < \alpha$ with $\alpha=0.01$

there is $1%$ chance to FALSE reject $H_0$ (if $H_0$ is TRUE)

2. $\text{m NULL hypotheses}$

there is $1%$ chance of rejecting single $H_0$, and $\text{m x }0.01$ FALSE rejections in total.

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