Exercise 2. Your friend\'s child has been randomly selected for Anemia screening
ID: 3355147 • Letter: E
Question
Exercise 2. Your friend's child has been randomly selected for Anemia screening, using a test with false positive rate of 1% and a false negative rate of 0%. The prevalence of Anemia in children is approximately 0.3 Note: Pase Positivee:do ve diseuse, bat tested positive 1. Fill out the table of conditional probability P(test result if carries Anemia) below condition if carries Anemia True False Test positive Test negative 2 2 2. If the child tested positive, what is the probability that he/she actually has Anemia? 3. You then read a research article that Anemia is 10 times more prevalent in prematurely born children. If this research is true, what is the probability that a prematurely born child has Anemia?Explanation / Answer
1. The table is as shown below:
2. If the child tested positive, the probability that he/she actually has anemia = 0.99, as per the conditional probability table.
3. The prevalence of Anemia in children is 0.3%, which is equivalent to a probability of 0.003, that a child has Anemia.
Since premature babies are 10 times more prone to Anemia, the probability that a prematurely born child has Anemia = 0.003 x 10 = 0.03, or 3%
Condition if carries Anemia TRUE FALSE Test Positive 0.99 0.01 Test Negative 0 1
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