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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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