Recent studies have shown that about 23% 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 400 patients and find that 80 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 23%. Give a numerical value for each of the following concepts. (a) The population proportion, p, of obese patients in the medical clinic. p = (b) The proportion of obese patients, p̂, for the sample of 400 patients. p̂ =

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Recent studies have shown that about 23% 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 400 patients and find that 80 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 23%. Give a numerical value for each of the following concepts.

(a) The population proportion, p, of obese patients in the medical clinic.
p =

(b) The proportion of obese patients, p̂, for the sample of 400 patients.
p̂ =

(c) The standard error, s.e., of p̂. (Round your answer to four decimal places.)
s.e.(p̂) =
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