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 229 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 11 of the 25 "red snapper" packages tested were a different kind of fish. Assume that the study used a simple random sample. Construct a 95% confidence interval for the proportion of "red snapper" packages that were a different kind of fish.

Explanation / Answer

alpha/2 = 0.025; Z=1.96

p = 11 / 25 = 0.44

Confidence Interval = 0.44 +/- 1.96 * ( 0.44*0.56 / 25 )^0.5

= 0.44 +/- 0.1946

Confidence Interval = (0.2454, 0.6346)

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