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14 June, 03:52

Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain drug test is 95% accurate, meaning that if a person is a user, the result is positive 95% of the time, and if she or he isn't a user, it's negative 95% of the time. Assume that 5% of all people are drug users.

Assume that the population is 10,000, and fill in the accompanying table (9 answers total)

Drug user Not a drug user Totals

Test positive

Test negative

Totals

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Answers (1)
  1. 14 June, 04:38
    0
    Drug User Not a drug user Totals

    Test positive 475 475 950

    Test negative 25 9025 9050

    Totals 500 9500 10,000

    Step-by-step explanation:

    Drug User Not a drug user Totals

    Test positive 475 475 950

    Test negative 25 9025 9050

    Totals 500 9500 10,000

    As we know that 5% of all people are drug users

    Total drug users=5% of 10,000=0.05 (10,000) = 500

    Total non drug users = Total people - drug users = 10,000-500=9500

    or total non drug users=95% of 10,000=0.95 (10,000) = 9500

    Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

    Test positive for drug user = 95% of 500=0.95 (500) = 475

    Test negative for non drug user = 95% of 500 = 0.95 (9500) = 9025

    Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

    Test negative for drug user = 5% of 500=0.05 (500) = 25

    Test positive for non drug user = 5% of 9500 = 0.05 (9500) = 475
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