In January 2007 Consumer, Reports published a study of bacterial contamination of chicken sold in the United States.  They purchased 525 broiler chickens from various stores in 23 states and tested them for bacterial contamination.  Lab tests indicated 83% of the chickens were contaminated with Campylobacter. How would you justify a claim by the USDA that the number of chickens tested was not large enough since 9 billion chickens are sold each year in the U.S.? What is the impact on the confidence interval estimate if a larger sample is used?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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  1. In January 2007 Consumer, Reports published a study of bacterial contamination of chicken sold in the United States.  They purchased 525 broiler chickens from various stores in 23 states and tested them for bacterial contamination.  Lab tests indicated 83% of the chickens were contaminated with Campylobacter.
  2. How would you justify a claim by the USDA that the number of chickens tested was not large enough since 9 billion chickens are sold each year in the U.S.?
  3. What is the impact on the confidence interval estimate if a larger sample is used?
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