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Leigh and Rebekah are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40.  Leigh and Rebekah each use their sample data to construct a confidence interval.  Leigh’s interval is from 0.346 to 0.474, and Rebekah’s interval is from 0.286 to 0.514.  One of these intervals was computed correctly, but the other was not.   Which interval must be incorrect?   Leigh’s interval must be incorrect. Rebekah’s interval must be incorrect. 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. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.

Leigh and Rebekah are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40.  Leigh and Rebekah each use their sample data to construct a confidence interval.  Leigh’s interval is from 0.346 to 0.474, and Rebekah’s interval is from 0.286 to 0.514.  One of these intervals was computed correctly, but the other was not.   Which interval must be incorrect?   Leigh’s interval must be incorrect. Rebekah’s interval must be incorrect. 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. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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  1. Leigh and Rebekah are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40.  Leigh and Rebekah each use their sample data to construct a confidence interval.  Leigh’s interval is from 0.346 to 0.474, and Rebekah’s interval is from 0.286 to 0.514.  One of these intervals was computed correctly, but the other was not.   Which interval must be incorrect?

 

  1. Leigh’s interval must be incorrect.
  2. Rebekah’s interval must be incorrect.
  3. It’s impossible to answer this question without knowing the level of confidence used for each interval.
  4. It’s impossible to answer this question without knowing the sample sizes.
  5. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.
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