To estimate the population proportion of American citizens who are currently unemployed using the sample data provided, we need to calculate the total number of employed and unemployed individuals from all the cities listed.
Hereโs the breakdown:
1. **Phoenix, AZ**
- Employed: 1,017
- Unemployed: 46
2. **Jackson, MS**
- Employed: 649
- Unemployed: 22
3. **Dallas, TX**
- Employed: 2,715
- Unemployed: 319
4. **Sacramento, CA**
- Employed: 919
- Unemployed: 73
Now, we can calculate the total employed and total unemployed:
- **Total Employed** = 1,017 + 649 + 2,715 + 919 = 5,300
- **Total Unemployed** = 46 + 22 + 319 + 73 = 460
Next, we can calculate the total number of individuals surveyed:
- **Total Individuals** = Total Employed + Total Unemployed = 5,300 + 460 = 5,760
Now, we can find the estimated population proportion of unemployed individuals:
\[
\text{Proportion of Unemployed} = \frac{\text{Total Unemployed}}{\text{Total Individuals}} = \frac{460}{5760}
\]
Calculating the above gives:
\[
\text{Proportion of Unemployed} = \frac{460}{5760} \approx 0.07986 \text{ or } 7.986\%
\]
Rounding this to the nearest whole percent, we have approximately **8%**.
Therefore, the estimated population proportion of American citizens who are currently unemployed is **8%**.