In 2013 the environmental group Oceana (usa.oceana.org) analyzed 1215 samples of seafood purchased across the United States and genetically compared the pieces to standard gene fragments that can identify the species. Laboratory results indicated that 33% of the seafood was mislabeled according to U.S. Food and Drug Administration guidelines.
a) Construct a 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified.
b) Explain what your confidence interval says about seafood sold in the United States.
c) A 2009 report by the Government Accountability Office says that the Food and Drug Administration has spent very little time recently looking for seafood fraud. Suppose an official said, “That’s only 1215 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.”