Nicotine Absent Nicotine PresentSelf-Reported Non Smoker 82 14 Self-Reported Smoker 12 52 What is the Sensitivity of self-reported smoking status? What is the specificity of the self-reported smoking status?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
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Nicotine Absent Nicotine Present
Self-Reported Non Smoker 82 14 Self-Reported Smoker 12 52 What is the Sensitivity of self-reported smoking status? What is the specificity of the self-reported smoking status?

Expert Solution
Step 1

First let's put the given data in a contingency table as shown ;

 

Statistics homework question answer, Step 1, Image 1
Step 2

From the table it can be observed that total number of participants in the study are 160, out of which 96 said that they are not currently smokers and 64 said that they are scurrently mokers.

Also when a laboratory test was done to check the presence of nicotine in the hair sample of participants, it was observed that in 94 samples nicotine was absent and in 66 samples nicotine was present.

 

Step 3

a.

Now to calculate the sensitivity of self-reported smoking status we will calculate the conditional probability of the smokers given the probability of Nicotine present in it. 

 

Statistics homework question answer, Step 3, Image 1
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