Thelma and Louise each use their sample data to construct a confidence interval.  Thelma’s interval is from 0.242 to 0.338 and Louise’s interval is from 0.237 to 0.323.  One of these intervals was computed correctly and the other was not.  Which interval must be the incorrect one?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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16. Thelma and Louise are each attempting to estimate the proportion of adults who enjoy listening to country music.  They each survey a different random sample of adults, and in each sample, the proportion who say they enjoy listening to country music is 0.29.   Thelma and Louise each use their sample data to construct a confidence interval.  Thelma’s interval is from 0.242 to 0.338 and Louise’s interval is from 0.237 to 0.323.  One of these intervals was computed correctly and the other was not.  Which interval must be the incorrect one?
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Louise’s interval must be the incorrect interval.

It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.

It’s impossible to answer this question without knowing the level of confidence used for each interval.

It’s impossible to answer this question without knowing the sample sizes.

Thelma’s interval must be the incorrect interval.

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