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The table provides the data for determining the **sensitivity** of the drug test, which is the proportion of true positives (people who use drugs and test positive) out of all people who use drugs (true positives + false negatives).

### Formula for Sensitivity:
\[
\text{Sensitivity} = \frac{\text{True Positives}}{\text{True Positives} + \text{False Negatives}} \times 100
\]

From the table:
- **True Positives (Test Positive, Use Drugs)** = 415
- **False Negatives (Test Negative, Use Drugs)** = 37

Now, let's calculate the sensitivity.

\[
\text{Sensitivity} = \frac{415}{415 + 37} \times 100
\]The sensitivity of this drug test is **91.8%**.

Would you like further clarification or have any questions? 

Here are 5 related questions to think about:
1. What is the specificity of this drug test?
2. How would you calculate the accuracy of the drug test based on this data?
3. What does a sensitivity of 91.8% tell you about the test's reliability?
4. How is the false negative rate related to sensitivity?
5. How would the sensitivity change if the number of false negatives increased?

**Tip:** Sensitivity measures the test's ability to correctly identify true positives; higher sensitivity reduces the chance of missing positive cases.

What is the sensitivity of this drug test?

Learn how to calculate the sensitivity of a drug test using true positives and false negatives. This example breaks down the data to determine a sensitivity of 91.8%, helping students understand key statistical concepts. Suitable for students in Grades 10-12.

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