Lived Died Total A hospital took a random sample of 200 patients from those who had been admitted to its adult intensive care unit (ICU). The table on the right cross-classify the 200 patients by their survival status and whether they were admitted with an infection. No Infection 100 16 116 Infection 60 24 84 Total 160 40 200 (a) Find the death rate of those admitted with no infection. Ditto for those admitted with an infection.

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## Data Analysis of ICU Patient Outcomes

A hospital conducted a study involving a random sample of 200 patients who had been admitted to its adult intensive care unit (ICU). The table below categorizes these patients based on their survival status and whether they were admitted with an infection.

### Patient Data Table

| Infection Status | Lived | Died | Total |
|------------------|-------|------|-------|
| No Infection     | 100   | 16   | 116   |
| Infection        | 60    | 24   | 84    |
| **Total**        | 160   | 40   | 200   |

### Task

(a) Calculate the death rate for patients admitted with no infection and those admitted with an infection.

### Calculation

1. **Death Rate for Patients with No Infection:**
   - Number of patients with no infection who died: 16
   - Total number of patients with no infection: 116
   - Death rate = \(\frac{16}{116} \approx 0.138\) (or 13.8%)

2. **Death Rate for Patients with Infection:**
   - Number of patients with infection who died: 24
   - Total number of patients with infection: 84
   - Death rate = \(\frac{24}{84} \approx 0.286\) (or 28.6%)

These calculations help in understanding the impact of infections on the survival outcomes of ICU patients.
Transcribed Image Text:## Data Analysis of ICU Patient Outcomes A hospital conducted a study involving a random sample of 200 patients who had been admitted to its adult intensive care unit (ICU). The table below categorizes these patients based on their survival status and whether they were admitted with an infection. ### Patient Data Table | Infection Status | Lived | Died | Total | |------------------|-------|------|-------| | No Infection | 100 | 16 | 116 | | Infection | 60 | 24 | 84 | | **Total** | 160 | 40 | 200 | ### Task (a) Calculate the death rate for patients admitted with no infection and those admitted with an infection. ### Calculation 1. **Death Rate for Patients with No Infection:** - Number of patients with no infection who died: 16 - Total number of patients with no infection: 116 - Death rate = \(\frac{16}{116} \approx 0.138\) (or 13.8%) 2. **Death Rate for Patients with Infection:** - Number of patients with infection who died: 24 - Total number of patients with infection: 84 - Death rate = \(\frac{24}{84} \approx 0.286\) (or 28.6%) These calculations help in understanding the impact of infections on the survival outcomes of ICU patients.
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