Question

Of 555 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, 54​% were mislabeled. ​

a) Construct a 95​% 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?

Answer 1

a)

95% Confidence interval for population proportion

=0.54+/-1.96*sqrt(0.54*(1-0.54)/555)

=0.54+/-0.04

=(0.5, 0.58)

b)

We are 95% confident that the proportion of all seafood sold in the country that is mislabeled or misidentified falls between 50% and 58%.

c)

No,as it is not possible to sample all of the seafood sold.

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