Question

In this question set, use the following two-way contingency table: Sick Not Sick Exposed 15 5 Not Exposed 3 30

A. Compute the relative risk of being sick for cases that were exposed compared to those that were not exposed. Show all work using the Word equation editor.

B. Interpret the relative risk you computed in part A in a way that someone with no knowledge of statistics would understand.

Answer 1

Calculation Only with Answer:

Step 1: Identify the Numbers

• Exposed and Sick: 15

• Exposed and Not Sick: 5

• Not Exposed and Sick: 3

• Not Exposed and Not Sick: 30

• 
  

Step 2: Calculate Probabilities

• Probability Sick if Exposed = 15 / (15 + 5) = 15/20 = 0.75

• Probability Sick if Not Exposed = 3 / (3 + 30) = 3/33 ≈ 0.0909

Step 3: Compute Relative Risk (RR)

$$RR=\frac{0.75}{0.0909}\approx 8.25$$

Final Answer:

Relative Risk (RR) = 8.25