A study of prostate cancer starts with 5,000 people. Of the people in the study, 125 have prostate cancer at baseline.   Over the next 2 years, 75 more people develop new cases of prostate cancer. What is the prevalence of disease at the end of the study period ?

To calculate the **prevalence of disease** at the end of the study period, we need to follow these steps:

### Step 1: Understand the terms
- **Prevalence** is the proportion of a population that has a particular disease at a specific time.
- The formula for **prevalence** is:

\[
\text{Prevalence} = \frac{\text{Number of people with the disease}}{\text{Total population}} \times 100
\]

### Step 2: Breakdown of the numbers
- The initial population is 5,000 people.
- At baseline, 125 people already have prostate cancer.
- Over 2 years, **75 new cases** of prostate cancer develop.

### Step 3: Calculate the total number of people with the disease at the end of the study
\[
\text{Total cases at the end} = 125 \ (\text{baseline cases}) + 75 \ (\text{new cases}) = 200 \ \text{cases}
\]

### Step 4: Apply the prevalence formula
\[
\text{Prevalence} = \frac{200}{5000} \times 100 = 4\%
\]

### Conclusion:
The **prevalence of prostate cancer** at the end of the study period is **4%**.

Would you like more details on any part of this calculation or have any questions?

Here are 5 related questions you might explore:
1. What is the difference between prevalence and incidence?
2. How would the prevalence change if 50 people died during the study?
3. How is the prevalence affected by a decrease in the total population?
4. How is incidence rate different from cumulative incidence in studies like this?
5. What statistical methods are used to predict future prevalence rates?

**Tip:** Remember that prevalence captures both existing and new cases at a specific time, while incidence focuses only on new cases over a period.

A study of prostate cancer starts with 5,000 people. Of the people in the study, 125 have prostate cancer at baseline. Over the next 2 years, 75 more people develop new cases of prostate cancer. What is the prevalence of disease at the end of the study period?

Discover how to calculate the prevalence of prostate cancer in a study with 5,000 participants. Learn the steps involved in determining the percentage of people with the disease, based on 125 baseline cases and 75 new cases over 2 years. This problem covers key epidemiological concepts and is suitable for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation