Recent studies have shown that about 17% 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. They take a random sample of 500 patients and find that 75 are obese. Suppose that the same percentage holds for the patients of the medical clinic as for the general population (17%). Give numerical values for each of the following concepts:
(a) The population proportion of obese patients in the medical clinic:
(b) The proportion of obese patients, p̂, for the sample of 500 patients.
(c) The standard error, s.e., of p̂. (Round to four decimal places)
(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.)