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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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The Placebo Effect A company is testing a new medicine for

Chapter 4, Problem 44AYU

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QUESTION:

Problem 44AYU

The Placebo Effect A company is testing a new medicine for migraine headaches. In the study, 150 women were given the new medicine and an additional 100 women were given a placebo. Each participant was directed to take the medicine when the first symptoms of a migraine occurred and then to record whether the headache went away within 45 minutes or lingered. The results are recorded in the following table:

 

Headache Went Away

Headache Lingered

Given medicine

132

18

Given placebo

56

44

(a) If a study participant is selected at random, what is the probability she was given the placebo?

(b) If a study participant is selected at random, what is the probability her headache went away within 45 minutes?

(c) If a study participant is selected at random, what is the probability she was given the placebo and her headache went away within 45 minutes?

(d) If a study participant is selected at random, what is the probability she was given the placebo or her headache went away within 45 minutes?

Questions & Answers

QUESTION:

Problem 44AYU

The Placebo Effect A company is testing a new medicine for migraine headaches. In the study, 150 women were given the new medicine and an additional 100 women were given a placebo. Each participant was directed to take the medicine when the first symptoms of a migraine occurred and then to record whether the headache went away within 45 minutes or lingered. The results are recorded in the following table:

 

Headache Went Away

Headache Lingered

Given medicine

132

18

Given placebo

56

44

(a) If a study participant is selected at random, what is the probability she was given the placebo?

(b) If a study participant is selected at random, what is the probability her headache went away within 45 minutes?

(c) If a study participant is selected at random, what is the probability she was given the placebo and her headache went away within 45 minutes?

(d) If a study participant is selected at random, what is the probability she was given the placebo or her headache went away within 45 minutes?

ANSWER:

Answer:

Step 1

 

Headache Went Away

Headache Lingered

Total

Given medicine

132

18

150

Given placebo

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