Question

A consumer advocacy group published a study of labeling of seafood sold in three U.S. states. The group purchased

271

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

25

​"red snapper" packages tested were a different kind of fish. Assume that the study used a simple random sample. Complete parts a through c below.

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

A.

​Yes, because the sample is a simple random​ sample, the sample proportion is between​ 10% and​ 90%, and there are at least 20 expected​ "successes" and 20 expected​ "failures."

B.

​No, because the sample is a simple random​ sample, the sample proportion is between​ 10% and​ 90%, and there are at least 20 expected​ "successes" and 20 expected​ "failures."

C.

​No, because the sample is a simple random​ sample, the sample is less than​ 10% of the​ population, and there are at least 10 expected​ "successes" and 10 expected​ "failures."

D.

​Yes, because the sample is a simple random​ sample, the sample is less than​ 10% of the​ population, and there are at least 10 expected​ "successes" and 10 expected​ "failures."

Your answer is correct.​

b) Construct a

95%

confidence interval for the proportion of​ "red snapper" packages that were a different kind of fish.

left parenthesis nothing comma nothing right parenthesis,

​(Round to three decimal places as​ needed.)

Answer 1