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To solve this problem, we need to determine the number of adults in Oak City whose main source of news is either radio or television, based on the data provided.

### Given Data
- Total population in Oak City: **32,000 adults**
- Sample dataTo solve this problem, we need to determine the number of adults in Oak City whose main source of news is either radio or television, based on the data provided.

### Given Data
- Total population in Oak City: **32,000 adults**
- Sample 
  - Newspapers: 58
  - Internet: 81
  - Television: 128
  - Radio: 21
  - Other: 49

### Steps
1. **Calculate the proportion of adults whose main source is radio or television in the sample**:
   - Total sample size = \( 58 + 81 + 128 + 21 + 49 = 337 \)
   - Number of adults using television = 128
   - Number of adults using radio = 21
   - Combined total for television and radio = \( 128 + 21 = 149 \)

2. **Find the proportion of radio or television users**:
   \[
   \text{Proportion} = \frac{149}{337}
   \]

3. **Predict the number of adults in Oak City whose main source of news is radio or television**:
   \[
   \text{Predicted number} = 32,000 \times \frac{149}{337}
   \]

4. **Calculate the result**.

Let’s perform the calculation:

\[
\frac{149}{337} \approx 0.442
\]
\[
32,000 \times 0.442 \approx 14,144
\]

### Answer
Approximately **14,144 adults** in Oak City primarily rely on radio or television as their main source of news.

Would you like a deeper explanation of any step?

---

1. What would be the prediction if the sample proportions changed?
2. How does sampling error affect such predictions?
3. Why is rounding only done at the end of calculations?
4. How would the prediction change if the population size were larger?
5. What if the survey included other categories?

**Tip:** For accuracy, always avoid rounding intermediate steps in calculations.

There are 32,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults, 'What is your main source of news?' The results are shown below. Based on the sample, predict the number of adults in Oak City whose main source of news is the radio or television. Round your answer to the nearest whole number. Do not round any intermediate calculations.

This example calculates the predicted number of adults in Oak City whose main source of news is radio or television. Given the city's population of 32,000 and sample data for news preferences, the solution covers key mathematical concepts like proportions and sampling prediction. Suitable for students in Grades 9-12.

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