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To ascertain the effectiveness of a new, quicker, and simpler test for identifying diabetes, a study was undertaken involving 865 participants.With this test, a positive

To ascertain the effectiveness of a new, quicker, and simpler test for identifying diabetes, a study was undertaken involving 865 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:

  • 213of the participants confirmed they actually had diabetes,with the other participants confirming they actually did not havediabetes.
  • 167participants actually had diabetesand produced a negative test result.
  • 302participants produced a negative test result.

A participant from the study is chosen at random.What is theprobabilitythey have diabetes given the test result is positive? (3 decimal places)

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