In a nursing home study, the researchers found that 15 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 27 randomly selected large nursing homes had a resident vaccination rate of less than 80%. Construct the 99% confidence interval for the difference between proportion of small bursing homes with a resident vaccination rate of less than 80% and large nursing homes. Let small nursing homes be population 1. A. Find the point estimate B. Find the critical value(s) C. Find the margin of error D. Construct the confidence interval.

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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In a nursing home study, the researchers found that 15 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 27 randomly selected large nursing homes had a resident vaccination rate of less than 80%. Construct the 99% confidence interval for the difference between proportion of small bursing homes with a resident vaccination rate of less than 80% and large nursing homes. Let small nursing homes be population 1.

A. Find the point estimate

B. Find the critical value(s)

C. Find the margin of error

D. Construct the confidence interval.

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