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IM2.9.1 TB or not TB?

Author:
Lind, Jon
Image

1. Different Representations

Tuberculosis (TB) can be tested in a variety of ways, including a skin test. If a person has tuberculosis antibodies, then they are considered to have TB. Above is a tree diagram representing data based on 1,000 people who have been given a skin test for tuberculosis. Notation: the vertical line is a symbol for conditional probability, and is read as “given”. For example, “Tested positiveTB” is read as “the person tested positive given that they had tuberculosis”. Fill in the following two way table showing probabilities (decimals) of each situation.

2. Conditional Statements

Based on the information in the table above, write some conditional statements.Starters: If a patient has TB, then… If a patient tested negative for TB, then…