A local health center noted that in a sample of 400 patients, 80 were referred to them by the local hospital. a. Provide a 95% confidence interval for all the patients who are referred to the health center by the hospital. b. What sample size would be required to estimate the proportion of all hospital referrals to the health center with a margin of error of 0.04 or less at 95% confidence?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A local health center noted that in a sample of 400 patients, 80 were referred to them by the local
hospital.
a. Provide a 95% confidence interval for all the patients who are referred to the health center by
the hospital.
b. What sample size would be required to estimate the proportion of all hospital referrals to the
health center with a margin of error of 0.04 or less at 95% confidence?

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