Twenty 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.

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Twenty 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 smallest? Why?
  The standard error is the smallest in   because is   in parts (a), (b), and (c) and the sample size is largest in  .
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