A health care company conducts an experiment to improve the efficacy of a treatm

Question

A health care company conducts an experiment to improve the efficacy of a treatment. 60% of patients are placed in a control group and receive the standard treatment. 40% are in the test group and receive the new treatment. 52% of the control group and 63% of the test group see improvement. The results are summarized in the attached probability tree.

What is the probability that a randomly selected patient was in the test group but saw no improement? (enter your percentage as a decimal rounded to the nearest hundreth, i.e. enter 25% as .25. )

Explanation / Answer

The probability that a randomly selected patient was in the test group but saw no improvement is given by:

0.4 * 0.37 = 0.148

Converting in percentage = 14.8% or approx 15%

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