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4. A health researcher is given 20 different compounds each one of which is to be tested to see if it is useful at inhibiting

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4. A health researcher is given 20 different compounds each one of which is to be tested to see if it is useful at inhibiting bacterial growth. Unknown to her, none of the 20 compounds actually has any effect on bacteria. Suppose she tests each compound separately and runs an appropriate test of significance on her results. Is she likely to (correctly) conclude that none of the compounds is connected to bacterial growth? Explain your answer (perhaps including a short, but appropriate computation)

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