Of 565 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared to standard gene fragments that can identify the species, 51% were mislabeled.
a) Construct a 99% confidence interval for the proportion of all seafood sold in the country that is mislabeled or mislabeled or misidentified.
b) Explain what your confidence interval says about seafood sold in the country.
c) A government spokesperson claimed that the sample size was too small, relative to the billions of pieces of seafood sold each year, to generalize. Is this criticism valid?
a) What is the 99% confidence interval?
The 99% confidence interval is from ___% to ___%
(Round to one decimal place as needed.)
b) What does the confidence interval say about seafood sold in the country?
A. There is a 99% chance that the true proportion of mislabeled seafood is in the interval.
B. We are 99% confident that the interval captures the true proportion of all seafood sold in the country that is mislabeled.
C. In 99% of samples of seafood sold in the country, the proportion that is mislabeled will be in the interval.
c) Is the government spokesperson's criticism valid?
A. No, until another study produces a different interval, the results should be generalized.
B. No, as long as the necessary assumptions and conditions were met, the results can be generalized.
C. Yes, the sample size must be at least 10% of the population, or the results cannot be generalized.
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