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Question: Refer to Exercise, in which 20% of the patients in a medical clinic are obese. If the clinic took repeated random samples of 100 observations and found the sample proportion who were obese, into what interval should those sample proportions fall about 95% of the time?
Exercise: Recent studies have shown that about 20% 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 100 patients and find that 18 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 20%. Give a numerical value for each of the following:
a. The population proportion of obese patients in the medical clinic.
b. The proportion of obese patients for the sample of 100 patients.
c. The standard error of p^.
d. The mean of the sampling distribution of p^.
e. The standard deviation of the sampling distribution of p^.
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