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A test for the presence of salmonella in chicken detects 97% of the time when the bacteria is present, but also gives a false positive

A test for the presence of salmonella in chicken detects 97% of the time when the bacteria is present, but also gives a false positive 2% of the time, wrongly indicating the presence of salmonella in uninfected chicken. If 10% of the chicken samples tested contain salmonella, what is the probability that a test result indicating the presence of the bacteria is accurate?

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