The National Weight Control Registry tries to mine secrets of success from people who lost at least 30 pounds and kept it off for at least a year. It reports that out of 2,720 registrants, 439 were on a low-carbohydrate diet (less than 90 grams a day). a. Develop a 95% confidence interval for the proportion of people on a low-carbohydrate diet. b. Is it possible that the population percentage is 16%? c. How large a sample is needed to estimate the proportion within 0.55%?

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The National Weight Control Registry tries to mine secrets of success
from people who lost at least 30 pounds and kept it off for at least a year.
It reports that out of 2,720 registrants, 439 were on a low-carbohydrate diet (less than 90 grams a day).

a. Develop a 95% confidence interval for the proportion of
people on a low-carbohydrate diet.

b. Is it possible that the population percentage is 16%?

c. How large a sample is needed to estimate the proportion
within 0.55%?

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