Recent studies have shown that about 39.1% 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...

Recent studies have shown that about 39.1% 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 300 patients and find that 102 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.1%. The standard deviation of the sampling distribution of p̂ was found to be 0.0282. If the clinic took repeated random samples of 300 observations and found the sample proportion who were obese, into what interval should those sample proportions fall about 95% of the time? (Use the Empirical Rule. Round your answers to two decimal places.)

between ___and___