In December 2011, Consumer reports published their study of labeling of seafood sold in New York, New Jersey, and Connecticut. They purchased 215 pieces of seafood from various kinds of food stores and restaurants in the three states and genetically compared the pieces to standard gene fragments that can identify the species. Laboratory results indicated that 20.5% of these packages of seafood were mislabeled, incompletely labeled, or misidentified by store or restaurant employees. Construct a 95% confidence interval for the proportion of all seafood packages in those three states that are mislabeled or misidentified. Explain what your confidence interval says about seafood sold in these three states A 2009 report by the Government Accountability Board says that the Food and Drug Administration has spent very little time recently looking for seafood fraud. Suppose an official said "That's only 215 packages out of the billions of pieces of seafood sold in a year. With the small number tested, I don't know that one would want to change one's buying habits." (An official was quoted similarly in a different but similar context). Is this argument valid? Explain. What is the sample size needed to have the width of the 98% confidence interval be 1% assuming that the point estimate is 20.5%?
In December 2011, Consumer reports published their study of labeling of seafood sold in New York, New Jersey, and Connecticut. They purchased 215 pieces of seafood from various kinds of food stores and restaurants in the three states and genetically compared the pieces to standard gene fragments that can identify the species. Laboratory results indicated that 20.5% of these packages of seafood were mislabeled, incompletely labeled, or misidentified by store or restaurant employees. Construct a 95% confidence interval for the proportion of all seafood packages in those three states that are mislabeled or misidentified. Explain what your confidence interval says about seafood sold in these three states A 2009 report by the Government Accountability Board says that the Food and Drug Administration has spent very little time recently looking for seafood fraud. Suppose an official said "That's only 215 packages out of the billions of pieces of seafood sold in a year. With the small number tested, I don't know that one would want to change one's buying habits." (An official was quoted similarly in a different but similar context). Is this argument valid? Explain. What is the sample size needed to have the width of the 98% confidence interval be 1% assuming that the point estimate is 20.5%?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In December 2011, Consumer reports published their study of labeling of seafood sold in New
York, New Jersey, and Connecticut. They purchased 215 pieces of seafood from various kinds
of food stores and restaurants in the three states and genetically compared the pieces to
standard gene fragments that can identify the species. Laboratory results indicated that 20.5%
of these packages of seafood were mislabeled, incompletely labeled, or misidentified by store or
restaurant employees.
Construct a 95% confidence interval for the proportion of all seafood packages in those
three states that are mislabeled or misidentified.
Explain what your confidence interval says about seafood sold in these three states
A 2009 report by the Government Accountability Board says that the Food and Drug
Administration has spent very little time recently looking for seafood fraud. Suppose an
official said "That's only 215 packages out of the billions of pieces of seafood sold in a year.
With the small number tested, I don't know that one would want to change one's buying
habits." (An official was quoted similarly in a different but similar context). Is this argument
valid? Explain.
What is the sample size needed to have the width of the 98% confidence interval be 1%
assuming that the point estimate is 20.5%?
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