In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion of ratepayers in favor of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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  In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion of ratepayers in favor of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n=100 from the council records be sufficient for a 95% confidence interval of this precision? 

  1. There is not enough information to answer this question
  2. No, because n=100 , the sample size, is too small
  3. No, because the length of the confidence interval would be greater than 0.1.
  4. Yes.
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