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Q U E ST I o N 7 1. To ascertain the effectiveness of a new. quicker. and simpler test for identifying diabetes, a study

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Q U E ST I o N 7 1. To ascertain the effectiveness of a new. quicker. and simpler test for identifying diabetes, a study was undertaken involving 891 participants. With this test. a positive result indicates the presence of diabetes. A negative result indicates the absence of diabetes. Data collected to assess the effectiveness of this new test revealed: - 300 of the participants conrmed they actually had diabetes, with the other participants conrming they actually did not have diabetes. - 23 participants actually had diabetes and produced a negative test result. . 513 participants produced a negative test result. A participant from the study is chosen at random. What is the probability the participant does not actually have diabetes given the test result is positive? (3 decimal places)

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