Question: According to a survey, 12.3% of men over the age of 30 in Jonesville work two or more jobs. The survey had a margin of error of \pm 1.9%. Of the estimated 35,000 men over the age of 30 in Jonesville, how many would you expect to work two or more jobs?
1. **State the problem:** We want to find how many men over the age of 30 in Jonesville work two or more jobs based on a survey percentage and total population.
2. **Identify the given data:**
- Percentage working two or more jobs: $12.3\%$
- Margin of error: $\pm 1.9\%$
- Total men over 30: $35,000$
3. **Formula to find the number of men working two or more jobs:**
$$\text{Number} = \text{Total men} \times \frac{\text{Percentage}}{100}$$
4. **Calculate the estimated number:**
$$35,000 \times \frac{12.3}{100} = 35,000 \times 0.123 = 4,305$$
5. **Calculate the margin of error in number of men:**
$$35,000 \times \frac{1.9}{100} = 35,000 \times 0.019 = 665$$
6. **Find the range of men working two or more jobs:**
- Lower bound: $$4,305 - 665 = 3,640$$
- Upper bound: $$4,305 + 665 = 4,970$$
7. **Interpretation:**
We expect approximately $4,305$ men to work two or more jobs, with a margin of error of $\pm 665$ men, so the number likely falls between $3,640$ and $4,970$ men.