A local town council is considering a proposal to build a large department store within the town borders. A local resident is against the proposal and conducts a survey of town residents. She selects a random sample of residents and asks them “Are you in favor of a new department store in the town, which would create traffic delays? Please answer yes or no.” Of the 240 residents surveyed, 211 residents responded “no.” Based on this sample, the resident claimed that she was 95% confident that the interval from 0.84 to 0.92 captures the true proportion of residents who are against building the new store. Describe one potential source of bias in this survey that is not accounted for by the margin of error.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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 A local town council is considering a proposal to build a large department store within the town borders. A local resident is against the proposal and conducts a survey of town residents. She selects a random sample of residents and asks them “Are you in favor of a new department store in the town, which would create traffic delays? Please answer yes or no.” Of the 240 residents surveyed, 211 residents responded “no.” Based on this sample, the resident claimed that she was 95% confident that the interval from 0.84 to 0.92 captures the true proportion of residents who are against building the new store. Describe one potential source of bias in this survey that is not accounted for by the margin of error.  

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