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) 7% 8% 80% 92%

Answer 1

To estimate the population proportion of American citizens who are currently unemployed based on the provided sample data, we first need to calculate the total number of employed and unemployed individuals.

### Step 1: Sum the employed and unemployed
- **Phoenix, AZ**: Employed = 1,017, Unemployed = 46
- **Jackson, MS**: Employed = 649, Unemployed = 22
- **Dallas, TX**: Employed = 2,715, Unemployed = 319
- **Sacramento, CA**: Employed = 919, Unemployed = 73

#### Total Employed
\( 1,017 + 649 + 2,715 + 919 = 5,300 \)

#### Total Unemployed
\( 46 + 22 + 319 + 73 = 460 \)

### Step 2: Calculate the total number of individuals
Total individuals = Total Employed + Total Unemployed
Total individuals = \( 5,300 + 460 = 5,760 \)

### Step 3: Calculate the proportion of unemployed individuals
The proportion of unemployed individuals is calculated as follows:
\[
\text{Proportion of Unemployed} = \frac{\text{Total Unemployed}}{\text{Total Individuals}} = \frac{460}{5,760}
\]

### Step 4: Perform the calculation
\[
\frac{460}{5,760} \approx 0.0798611 \approx 0.08
\]

To express this as a percentage:
\[
0.08 \times 100 = 8\%
\]

Thus, the estimated population proportion of American citizens who are currently unemployed is **8%**.

The correct answer is **8%**.