The publication of a book, which includes chapters on doctor-assisted suicide, c
ID: 3179209 • Letter: T
Question
The publication of a book, which includes chapters on doctor-assisted suicide, caused a great deal of controversy in the medical community. The Society for the Right to Die and the American Medical Association quoted very different figures regarding the proportion of primary-care physicians who have participated in some form of doctor-assisted suicide for terminally ill patients. Suppose that a survey of physicians is to be designed to estimate this proportion to within .1 with 95% confidence. How many primary-care physicians should be included in a random sample? (Use the value of z rounded to two decimal places.) The publication of a book, which includes chapters on doctor-assisted suicide, caused a great deal of controversy in the medical community. The Society for the Right to Die and the American Medical Association quoted very different figures regarding the proportion of primary-care physicians who have participated in some form of doctor-assisted suicide for terminally ill patients. Suppose that a survey of physicians is to be designed to estimate this proportion to within .1 with 95% confidence. How many primary-care physicians should be included in a random sample? (Use the value of z rounded to two decimal places.)Explanation / Answer
Let the sample size is n.
n = (zc / E)^2 *p*q
zc we take from normal table at 5% (100%-95%) level of significance is given by 1.96.
E = 0.1
p = 0.5
q = 0.5
when p value not given we take it as 50%. P + q = 1
n = (1.96/0.1)^2*0.5*0.5 =96.04
If we take the nearest value then the answer is 96.
If we take the next digit then the answer is 97.
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