Medicine and Clinical Studies
The failure rate of hip implants in men is approximately p 5 0.019, and this proportion is even higher for women. A new implant design by researchers at the Missouri Bone & Joint Research Foundation uses a thinner plastic and will hopefully cause fewer complications and further surgeries. A long-term study was conducted to examine the failure rate of the new implant design in men.
a. State the null and alternative hypotheses in terms of p.
b. Describe a type I error and a type II error in this context.
c. For a fixed sample size, which is smaller, b(0.015) or b(0.010)?
d. If you have invested in the company that manufactures this new implant, would you prefer a = 0.1 or a = 0.01? Why?