1. MATH 102-008 Mathematical Literacy for College Students II
Class 9, February 23, 2016
Lesson 6.4: A Closer Look at Screening Tools

2. Lesson 6.4 Objectives
By the end of this lesson, you should understand that:
It is important to be careful when interpreting phrases about conditional probabilities.
A two-way table is a useful tool to analyze conditional probabilities.
False positive rates and false negative rates are not directly related to a test’s sensitivity or specificity.

3. Lesson 6.4 Objectives
By the end of this lesson, you should be able to:
Correctly interpret phrases or statements referring to conditional probabilities.
Calculate different types of conditional probabilities with information in a two-way table (contingency table). These conditional probabilities include: specificity, sensitivity, false positive rate, false negative rate.
Create a two-way table to model the effectiveness of a screening tool.

4. Lesson 6.4 Connections Main ideas in the lesson:
Conditional probabilities, such as sensitivity, specificity, false positive rate, and false negative rate, should be taken into consideration when considering the effectiveness of a screening tool.
A two-way table is a useful way to analyze conditional probabilities.

5. Lesson 6.4 Connections Connections to the 8 course goals:
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.