Suppose a county's recent health report gives a pet allergy prevalence of 0.16 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 0.04. The probability that the test gives a negative result when a child really does have a pet allergy is 0.15. The tree Pet allergy Test result status Positive 0.85 Pet allergy 0,16 0.15 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 0.04 0.84 No pet allergy P(incorrect test result) = 0.07 0.96 · Negative

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