15 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, 79​% were mislabeled.   ​a) Construct a 90​% confidence interval for the proportion of all seafood sold in the country that is 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 90​% confidence​ interval?   The 90​% confidence interval is from nothing​% to nothing​%. ​(Round to one decimal place as​ needed.) ​b) What does the confidence interval say about seafood sold in the​ country?     A. We are 90​% confident that the interval captures the true proportion of all seafood sold in the country that is mislabeled.   B. In 90​% of samples of seafood sold in the​ country, the proportion that is mislabeled will be in the interval.   C. There is a 90​% chance that the true proportion of mislabeled seafood is in the interval. ​c) Is the government​ spokesperson's criticism​ valid?     A. Yes, until another study produces a similar interval​, the results cannot be generalized.   B. ​Yes, the sample size must be at least​ 10% of the​ population, or the results cannot be generalized.   C. ​No, as long as the necessary assumptions and conditions were​ met, the results can be generalized.

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Author:Amos Gilat
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Of
515
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,
79​%
were mislabeled.
 
​a) Construct a
90​%
confidence interval for the proportion of all seafood sold in the country that is 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
90​%
confidence​ interval?
 
The
90​%
confidence interval is from
nothing​%
to
nothing​%.
​(Round to one decimal place as​ needed.)
​b) What does the confidence interval say about seafood sold in the​ country?
 
 
A.
We are
90​%
confident that the interval captures the true proportion of all seafood sold in the country that is mislabeled.
 
B.
In
90​%
of samples of seafood sold in the​ country, the proportion that is mislabeled will be in the interval.
 
C.
There is a
90​%
chance that the true proportion of mislabeled seafood is in the interval.
​c) Is the government​ spokesperson's criticism​ valid?
 
 
A.
Yes, until another study produces a similar interval​,
the results
cannot
be generalized.
 
B.
​Yes, the sample size must be at least​ 10% of the​ population, or the results cannot be generalized.
 
C.
​No, as long as the necessary assumptions and conditions were​ met, the results can be generalized.
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