7. Conclusions A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 88% 6% What does this mean? Are these conclusions correct? Yes/No. Between 82% and 94% of all orders arrive on time. Ninety-five percent of all random samples of customers will show that 88% of orders arrive on time. Ninety-five percent of all random samples of customers will show that 82% to 94% of orders arrive on time. We are 95% sure that between 82% and 94% of the orders placed by the sampled customers arrived on time. On 95% of the days, between 82% and 94% of the orders will arrive on time. 8. Mislabeled seafood 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. Construct a 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified. Explain what your confidence interval says about seafood sold in the United States. 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." (An official was quoted similarly in a different but similar context). Is this argument valid? Explain.