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Mathematics, 05.05.2020 00:49 GiuliAzevedo
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A new test is developed to test for a certain allergy giving positive" or "negative" results to indicate that a person does or does not
have the allergy
For a person who has the allergy, the test will give a positive result 82% of the time, and a negative result (false negative) 18% of the
time. For a person who does not have the allergy, the test will give a positive result (false positive) 10% of the time, and a
negative result 90% of the time.
A study included a population of 10,000 people, and 1% of those studied where known to have the allergy.
Fill in the missing values in the table below, and complete the statements that follow. Round the percentage to the nearest
tenth, if necessary.
Number of
People
Positive Test
Negative Test
Have Allergy
100
Don't Have Allergy
9900
990
If an individual's test gives a positive result, it is
___% likely that the person has the allergy.
Therefore, this test
(should/should not) be used for allergy testing.
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