Exercise 1, using Binomial Distribution:
There were 4 cases with skin rash among 100 cases, who were administered the investigational new drug A. Estimate the incidence of skin rash with 95% confidence interval.
Exercise 2, using Poisson Distribution:
There were 2 cases of severe thrombocytopenia among 500 subjects who were administered the new drug A. Estimate the incidence of thrombocytopenia with 95% confidence interval.
Exercise 3, using Binomial Distribution:
The remission rate of the standard treatment protocol for a certain disease is 50%. A new clinical trial protocol was developed to analyze new drug A, and 100 cases were analyzed for the therapeutic effects of the new drug A. Sixty-five cases reached disease remission. Analyze whether the remission rate was significantly improved.
Exercise 4 using Poisson Distribution:
According to the national investigation, the rate of elementary school refusal is 1 out of 295 students (0.33%). In a certain elementary school 4 out of total 500 students refuse to go to school. Analyze whether the rate of school refusal of this elementary school is significantly higher than the national average.
Exercise 5 for multiple samples:
For a certain heart disease, the performance of surgery in 3 different institutes is presented as the postoperative mortality. Estimate the postoperative mortality rate in each institute with 70% confidence interval.
