Suppose a county's recent health report gives a pet allergy prevalence of Pet allergy Test result 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 status 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 - Negative 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. Positive 0.07 0.77 No pet allergy 1.19 0.93 Negative

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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
Test result
status
Positive
allergy. The probability that the test gives a positive result when a child
0.83
really does not have a pet allergy is 0.07. The probability that the test gives
Pet
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
1.19
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 Test result status Positive allergy. The probability that the test gives a positive result when a child 0.83 really does not have a pet allergy is 0.07. The probability that the test gives Pet 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 1.19 0.93 Negative
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