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Suppose scientists investigate a large number of null hypotheses by running an experiment on each. In each experiment, they reject the hypothesis when the results

Suppose scientists investigate a large number of null hypotheses by running an experiment on each. In each experiment, they reject the hypothesis when the results are significant at the .01 level.

In actual fact, 90% of the hypotheses are false. And when a hypothesis is false, the results will not be statistically significant 25% of the time.

What is the probability that a hypothesis is actually false given that it is rejected? (upto 4 decimal places)

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