Suppose a county’s recent health report gives a pet allergy prevalence of 0.18 f
ID: 3171050 • Letter: S
Question
Suppose a county’s recent health report gives a pet allergy prevalence of 0.18 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 0.06. The probability that the test gives a negative result when a child really does have a pet allergy is 0.19. 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.
Pet allergy Status 0.18 0.82 Pet allergy No pet allergy Test result Positive 0.81 0.19 Negative Positive 0.06 0.94 NegativeExplanation / Answer
Probability of incorrect result will be The probability that the test gives a positive result when a child really does not have a pet allergy +The probability that the test gives a negative result when a child really does have a pet allergy = 0.06*0.82+0.19*0.18 =0.0834
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.