Let's analyze the data provided.
1. Germany:
- Total forces: [tex]\(11,000,000\)[/tex]
- Total casualties: [tex]\(7,142,558\)[/tex]
2. Austria-Hungary:
- Total forces: [tex]\(7,800,888\)[/tex]
- Total casualties: [tex]\(7,020,000\)[/tex]
3. Ottoman Empire:
- Total forces: [tex]\(2,850,000\)[/tex]
- Total casualties: [tex]\(975,000\)[/tex]
We need to determine the casualty rate for Germany and for Austria-Hungary and see which of the given statements explains why Austria-Hungary's casualty rate was higher.
### Step-by-Step Calculation:
1. Casualty Rate Calculation:
- Germany:
[tex]\[
\text{Casualty Rate Germany} = \frac{\text{Total casualties}}{\text{Total forces}} = \frac{7,142,558}{11,000,000}
\][/tex]
[tex]\[
\text{Casualty Rate Germany} \approx 0.649
\][/tex]
- Austria-Hungary:
[tex]\[
\text{Casualty Rate Austria-Hungary} = \frac{\text{Total casualties}}{\text{Total forces}} = \frac{7,020,000}{7,800,888}
\][/tex]
[tex]\[
\text{Casualty Rate Austria-Hungary} \approx 0.900
\][/tex]
2. Comparison:
- Germany's casualty rate is approximately [tex]\(0.649\)[/tex].
- Austria-Hungary's casualty rate is approximately [tex]\(0.900\)[/tex].
3. Explanation based on Casualty Rates:
- Austria-Hungary's casualty rate ([tex]\(0.900\)[/tex]) is significantly higher than Germany's casualty rate ([tex]\(0.649\)[/tex]).
- This means that a higher percentage of Austria-Hungary's total forces were either killed or wounded compared to Germany.
### Conclusion:
Given the casualty rates, the most accurate statement that explains why Austria-Hungary had a higher casualty rate than Germany is:
Austria-Hungary had a higher percentage of total forces killed and wounded than Germany did.
