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In the tests of a new pharmaceutical product, data were collected for use in the approval process required by theU.S. Food and Drug Administration (FDA). Some participants were given a placebo, an inert substance that looks like the drug; others were given the drug. The data are shown in the following table:

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Drug 22 47
Placebo 31 20

What is the probability that
a. the participants perceived that their “medication" helped if they received the drug?

b. the participants perceived that their “medication” helped if they received the placebo?

c. the participants perceived that their “medication” helped?

  • Math -

    Add up all of the participants in your study. 22+47+31+20= 120

    Formula: Part/whole= percentage

    (a) 47 perceived help from drug. 47/120= .3917= 39%
    (b) 20/120= .166, round to 16.7%
    (c) 47+20= 67/120= .5583= 55.8%

  • Math -

    a. 47/69 (only of those who got the drug)

    b. 20/51 (only of those who got the placebo)

    c. Yes

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