(A)Compute a 95% Confidence Interval for the True Proportion of People

question 7

Essay

(A)Compute a 95% confidence interval for the true proportion of people who favor Coke.Do the results of this poll convince you that a majority of people favors Coke?
(B)Suppose 2,000 (not 400)people were polled and 53% favored Coke.Would you now be convinced that a majority of people favor Coke? Why might your answer be different than in (A)?
(C)How many people would have to be surveyed to be 95% confident that you can estimate the fraction of people who favor Coca-Cola within 1%?

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Definitions:

Hypothalamus

A region of the brain that controls an array of bodily functions, including temperature regulation, thirst, hunger, sleep, and emotional activity.

Pituitary Gland

A small endocrine gland in the brain that produces hormones regulating growth, metabolism, and reproduction.

Hormones

Biological compounds synthesized within the body responsible for regulating and managing the functions of specific cells or organs.

Sex Glands

Organs in the body that produce sex hormones and gametes, playing a crucial role in reproduction and hormonal balance.