Patients who are admitted to the intensive care unit (ICU) and require mechanical ventilation can develop fatal bacterial infections. A clinical trial randomly assigned to two groups 934 patients who were admitted to an ICU and required mechanical ventilation. The control group received a standard medical treatment, whereas the antibiotics group received antibiotics prophylactically in addition to standard treatment. The study found that 107 of the 468 patients in the control group died, compared with 69 of the 466 patients in the antibiotics group. 1) What are the odds of dying in each of the two groups? 2) Compute the odds ratio for death. 3)Use the above information to compute the equation of the logistic regression model if the indicator variable x equals 0 for the control group and 1 for the antibiotics group.

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