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Twenty-nine percent of primary care doctors think their patients receive unnecessary medical care. If required, round...

Twenty-nine 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. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care.

np =
n(1-p) =
E (p) =
σ(p) =
(b) Suppose a sample of 500 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care.
np =
n(1-p) =
E(p) =
σ(p) =
(c) Suppose a sample of 1,000 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care.
np =
n(1-p) =
E(p) =
σ(p) =
(d)

In which of the preceding three cases, part (a) or part (b) or part (c), is the standard error of p smallest? Why?

The standard error is the smallest in (part a, b or c?) because p is (the same or not the same)

in parts (a), (b), and (c) and the sample size is largest in (part a, b or c?)

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