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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