Chapter 06 Homework
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Twenty-one percent of primary care doctors think their patients receive unnecessary medical care. If required, round your answer to four decimal places.
(a) Suppose a sample of 300 primary care doctors was taken. Calculate the mean and standard deviation of the sample proportion of doctors who think their patients receive unnecessary medical care.
np =
n(1-p) =
E(p) =
$\sigma_\hat{p}$ =
(b) Suppose a sample of 500 primary care doctors was taken. Calculate the mean and standard deviation of the sample proportion of doctors who think their patients receive unnecessary medical care.
np =
n(1-p) =
E(p) =
$\sigma_\hat{p}$ =
(c) Suppose a sample of 1,000 primary care doctors was taken. Calculate the mean and standard deviation of the sample proportion of doctors who think their patients receive unnecessary medical care.
np =
n(1-p) =
E(p) =
$\sigma_\hat{p}$ =
(d) In which of the preceding three cases, part (a) or part (b) or part (c), is the standard error of $\hat{p}$ smallest? Why?
The standard error is the smallest in because $\hat{p}$ is in parts (a), (b), and (c) and the sample size is largest in
