If 400 chemicals are tested for carcinogenicity at a specific site, and each chemical is declared a

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If 400 chemicals are tested for carcinogenicity at a specific site, and each chemical is declared a carcinogen if the increase in tumors is significant at the level p =

0.05, how many will be found to be significant by chance? (False positives.) How is this modified if a search is made at five different sites at the same time?

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