A consumer advocacy group published a study of labeling of seafood sold in three

Question

A consumer advocacy group published a study of labeling of seafood sold in three U.S. states. The group purchased 237 pieces of seafood from various kinds of food stores and restaurants in the three states and genetically compared the pieces to standard gene fragments that can identify the species. The study found that 12 of the 27 "red snapper" packages tested were a different kind of fish. Assume that the study used a simple random sample. Complete parts a through b below.

a) Are the conditions for creating a confidence interval satisfied? Explain.

b) Construct a 95% confidence interval for the proportion of "red snapper" packages that were a different kind of fish.

Explanation / Answer

a) Are the conditions for creating a confidence interval satisfied? Explain.   we have a proportion and we have a sample size greater than 30

b) alpha / 2= 0.025   Z=1.96

p = 12 / 27 = 0.44

0.44 +/- 1.96 * SRQT ( 0.44*0.56 / 27 )

0.44 +/- 0.187

0.253 < P < 0.627

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