To calculate the labor-force participation rate and the unemployment rate for the group, we can use the following formulas:
- Labor-force participation rate = (Labor force / Total population) × 100
- Unemployment rate = (Number of unemployed / Labor force) × 100
First, let's determine the labor force, which includes both the employed and unemployed:
- Number of employed = 36.3 million
- Number of unemployed = 1.2 million
Labor force = Number of employed + Number of unemployed = 36.3 million + 1.2 million = 37.5 million
Now we can calculate the labor-force participation rate:
- Total population = 57.4 million
Labor-force participation rate = (37.5 million / 57.4 million) × 100 ≈ 65.3%
Next, we can calculate the unemployment rate:
Unemployment rate = (1.2 million / 37.5 million) × 100 ≈ 3.2%
Putting it all together, the labor-force participation rate is approximately 65.3% and the unemployment rate is approximately 3.2%.
Therefore, the correct answer is b. 65.3% and 3.2%.