random sample of 600 patients and find that 204 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.4%. Give a numerical value for each of the following. (a)

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Recent studies have shown that about 39.4% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 600 patients and find that 204 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.4%. Give a numerical value for each of the following.
(a)
the population proportion, p, of obese patients in the medical clinic
p =
(b)
the proportion of obese patients, p̂, for the sample of 600 patients
p̂ =
(c)
the standard error, s.e., of p̂ (Round your answer to four decimal places.)
s.e.(p̂) =
(d)
the mean of the sampling distribution of p̂
 
(e)
the standard deviation, s.d., of the sampling distribution of p̂ (Round your answer to four decimal places.)

 

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