Question 1193250: The table below shows the results of a new screening test for Crohn's disease.
Has Crohn's Does not have Crohn's
Test Positive 56 33
Test Negative 4 307
What percentage of the individuals in the study were false negatives?
Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!
Given Data Table:
| Has Crohn's | Does not have Crohn's | | Test Positive | 56 | 33 | | Test Negative | 4 | 307 |
Next, compute the row and column totals (eg: 56+33 = 89 people test positive along the first row)
| Has Crohn's | Does not have Crohn's | Total | | Test Positive | 56 | 33 | 89 | | Test Negative | 4 | 307 | 311 | | Total | 60 | 340 | 400 |
Definitions: - When the test says negative, it is claiming the person does not have the disease.
- A false negative is when the test reports "negative", but the reality is that the person does indeed have the disease. If the test was 100% perfect without any error, then the test should have reported "positive".
Based on those definitions, we can see that 4 people who have Crohn's tested negative (when they should have tested positive). This is out of the 400 people total in the sample.
4/400 = 0.01 = 1% is the false negative rate.
Answer: 1%
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