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Twenty signals at five per cent · Part 3 of 3
A researcher tests 20 candidate signals, each with its own test at the 5% level. The tests are independent, and in truth none of the signals has any predictive power.
The researcher switches to a Bonferroni correction to hold the family-wise error rate at 5%. What is the exact probability of at least one false positive now, to four decimal places?
Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.
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