2. You want to estimate the proportion of residents in your municipality who are in favor of the construction of 5 cell site towers in the area. You a take a random sample of 240 residents and find that 182 are in favor. a. Determine a 95% confidence interval for the proportion of residents in the municipality who are in favor of the construction. b. Determine a 99% confidence interval for the proportion of residents in the municipality who are in favor of the construction. c. Compare (a) and (b). What happens to the confidence intervals if we increase or decrease the confidence level?

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 6E: List the sample space of each experiment. Tossing three coins
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2. You want to estimate the proportion of residents in your municipality who are in favor of the
construction of 5 cell site towers in the area. You a take a random sample of 240 residents and find that
182 are in favor.
a. Determine a 95% confidence interval for the proportion of residents in the municipality who are in
favor of the construction.
b. Determine a 99% confidence interval for the proportion of residents in the municipality who are in
favor of the construction.
c. Compare (a) and (b). What happens to the confidence intervals if we increase or decrease the
confidence level?
Transcribed Image Text:2. You want to estimate the proportion of residents in your municipality who are in favor of the construction of 5 cell site towers in the area. You a take a random sample of 240 residents and find that 182 are in favor. a. Determine a 95% confidence interval for the proportion of residents in the municipality who are in favor of the construction. b. Determine a 99% confidence interval for the proportion of residents in the municipality who are in favor of the construction. c. Compare (a) and (b). What happens to the confidence intervals if we increase or decrease the confidence level?
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