Suppose a group of people were tested for a disease and asked about their smoking status. Consider these results: 10 people tested positive and said they were smokers, 15 people tested negative and said they were smokers, 14 people tested positive and were nonsmokers, and 21 tested negative and said they were nonsmokers. These are summarized in the following table: Smoker Nonsmoker Positive 10 14 Negative 15 21 Consider selecting a person at random from this group. Let A denote the event that the person is a smoker and B be the event that they tested positive. Are A and B independent?

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter4: Economic Evaluation In Health Care
Section: Chapter Questions
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Suppose a group of people were tested for a disease and asked about their smoking status. Consider these
results: 10 people tested positive and said they were smokers, 15 people tested negative and said they
were smokers, 14 people tested positive and were nonsmokers, and 21 tested negative and said they were
nonsmokers. These are summarized in the following table:
Smoker
Nonsmoker
Positive
10
14
Negative 15
21
Consider selecting a person at random from this group. Let A denote the event that the person is a smoker
and B be the event that they tested positive. Are A and B independent?
Transcribed Image Text:Suppose a group of people were tested for a disease and asked about their smoking status. Consider these results: 10 people tested positive and said they were smokers, 15 people tested negative and said they were smokers, 14 people tested positive and were nonsmokers, and 21 tested negative and said they were nonsmokers. These are summarized in the following table: Smoker Nonsmoker Positive 10 14 Negative 15 21 Consider selecting a person at random from this group. Let A denote the event that the person is a smoker and B be the event that they tested positive. Are A and B independent?
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