Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet allergy. The probability that the test gives a positive result when a child really does not have a pet allergy is 0.07. The probability that the test gives a negative result when a child really does have a pet allergy is 0.17. The tree diagram shows the possible outcomes with the associated probabilities. What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. P(incorrect test result) =

MATLAB: An Introduction with Applications
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Suppose a county's recent health report gives a pet allergy prevalence of
0.23 for kids. There is a new at-home test kit for pet allergies on the market
that provides families with a convenient way to test if children have a pet
Pet allergy
status
Test result
Positive
allergy. The probability that the test gives a positive result when a child
0.83
Pet
really does not have a pet allergy is 0.07. The probability that the test gives
allergy
a negative result when a child really does have a pet allergy is 0.17. The tree
0.23
0.17
diagram shows the possible outcomes with the associated probabilities.
Negative
What is the probability of an incorrect test result? Give your answer as a
decimal precise to two decimal places.
Positive
0.07
0.77
No pet
allergy
P(incorrect test result) =
0.93
Negative
Transcribed Image Text:Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet Pet allergy status Test result Positive allergy. The probability that the test gives a positive result when a child 0.83 Pet really does not have a pet allergy is 0.07. The probability that the test gives allergy a negative result when a child really does have a pet allergy is 0.17. The tree 0.23 0.17 diagram shows the possible outcomes with the associated probabilities. Negative What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. Positive 0.07 0.77 No pet allergy P(incorrect test result) = 0.93 Negative
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