Estimation Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective
Estimation
Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective in 20 of them. By effective , we mean their diastolic blood pressure is lowered by at least 10 mm Hg as judged from a repeat measurement one month after taking the drug.
- What is the best point estimate of the probability p of the drug being effective?
- Suppose we know that 10% of all hypertensive patients were given a placebo will have their DBP lowered by 10 mm Hg after one month. Can we carry out some procedure to be sure we are not simply observing the placebo effect?
- What assumptions have you made to carry out the procedure in problem 1.2?
Injuries are common in football and may be related to a number of factors, including the type of playing surface, the number of years of playing experience, and whether any previous injury exists. A study of factors affecting injury among Canadian football players was recently reported.
The rate of injury to the upper extremity [that is, shoulder to hand] on a dry field consisting of natural grass is 2.73 injuries per 1000 games. Assume this rate is known without error.
2.1 The study reported 45 injuries to the upper extremity on a dry field consisting of artificial turf among 10,112 games. What procedure can be used to assess if the risk of injury is different on artificial turf versus natural grass?
2.2 Provide 95% confidence interval for the rate of injury to the upper extremity on artificial turf. [Hint: use the Poisson distribution.] Express each rate as the number of injuries per 1000 games.
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