Suppose a county s recent health report gives a pet allergy

Last updated: 6/23/2023

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 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 Pet allergy status 0 16 0 84 Pet allergy No pet allergy Test result 0 85 0 15 0 04 0 96 Positive Negative Positive Negative