Question

Use the following sample to estimate the population proportion of American citizens who are currently unemployed. Cities Employed Unemployed Phoenix, AZ 1,017 46 Jackson, MS 649 22 Dallas, TX 2,715 319 Sacramento, CA 919 73 (1 point) Responses 7% 7% 8% 8% 80% 80% 92%

Answer 1

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.

Here’s 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%**.