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The image shows a question related to sampling in biostatistics and epidemiology. Let me break it down and help solve the problem step by step:

### 1. **Difference between Population and Sample**
   - **Population**: The entire group that you want to draw conclusions about.
   - **Sample**: A subset of the population selected for analysis.

### 2. **Sampling Strategy**
The problem asks how to draw a sample using stratified sampling from 5 different sections with a total population of 3000 students. The number of students in each section is provided.

#### a. **Stratified Sampling Method**: 
This method involves dividing the population into strata (groups) and then taking a proportional sample from each group. The sample size from each section is proportional to the number of students in that section.

#### b. **Proportional Sample Size Calculation**:
Let’s assume we are asked to take a sample of 10% of the total population (3000). Therefore, the total sample size would be:

\[
\text{Total sample size} = 10\% \times 3000 = 300
\]

Next, we calculate the sample size for each section based on the proportion of students in that section relative to the total population. 

\[
\text{Sample for section} = \left( \frac{\text{No. of students in the section}}{\text{Total no. of students}} \right) \times \text{Total sample size}
\]

Let me calculate this for each section.The sample size for each section, using proportional stratified sampling, is as follows:

- **Purok 1**: 66 students
- **Purok 2**: 52 students
- **Purok 3**: 75 students
- **Purok 4**: 59 students
- **Purok 5**: 48 students

### 3. **Minimum Sample Size for Cluster Sampling**
For cluster sampling, you could take one or more entire sections (clusters) as the sample. The minimum sample size would be one section if you were using this method.

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Do you want to explore any details or have additional questions?

Here are some related questions you might find useful:
1. What are other types of sampling methods besides stratified and cluster sampling?
2. How does stratified sampling help reduce sampling bias?
3. How can we calculate confidence intervals for stratified sampling?
4. What is the difference between cluster sampling and simple random sampling?
5. How would increasing the sample size affect the reliability of the results?

**Tip**: In stratified sampling, ensuring each group is represented proportionally improves the accuracy of the results, especially if the groups have different characteristics.

What is the difference between population and sample? How will you draw the sample using stratified sampling from a barangay from 5 puroks composed of 3000 populations as shown in the table below?

Learn how to solve a stratified sampling problem involving a barangay divided into 5 sections with a total population of 3000. This exercise covers key statistical concepts, including the difference between population and sample, and how to calculate proportional sample sizes for each section using stratified sampling. Suitable for undergraduate students in biostatistics or epidemiology courses.

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