The National Weight Control Registry tries to mine secrets of
The National Weight Control Registry tries to mine secrets of success from people who have lost at least 30 pounds and kept it off for at least a year. It reports that out of 2,700 registrants, 459 were on low-carbohydrate diets (less than 90 grams a day).
a. Develop a 95% confidence interval for this fraction.
b. Is it possible that the population percentage is 18%?
c. How large a sample is needed to estimate the proportion within 0.5%?

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