A consumer advocacy group published a study of labeling of seafood sold in three U.S. states. The study found that 10 of the 20 "red snapper" packages tested were al 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. OA. Yes, because the sample is a simple random sample, the sample proportion is between 10% and 90%, and there are at least 20 "successes" and 20 "failures." OB. No, because the sample is a simple random sample, the sample proportion is between 10% and 90%, and there are at least 20 "successes" and 20 "failures." C. Yes, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 "successes" and 10 "failures." OD. No, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 "successes" and 10 "failures." b) Construct a 95% confidence interval for the proportion of "red snapper" packages that were a different kind of fish. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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A consumer advocacy group published a study on seafood labeling in three U.S. states. The study found that 10 out of the 20 “red snapper” packages tested were mislabeled and contained a different kind of fish. Assume that the study used a simple random sample. Complete parts a through c below.

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**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 “successes” and 20 “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 “successes” and 20 “failures.”
  
- **C.** Yes, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 “successes” and 10 “failures.” [Selected Answer]
  
- **D.** No, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 “successes” and 10 “failures.”

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

(Round to three decimal places as needed.)
Transcribed Image Text:A consumer advocacy group published a study on seafood labeling in three U.S. states. The study found that 10 out of the 20 “red snapper” packages tested were mislabeled and contained 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 “successes” and 20 “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 “successes” and 20 “failures.” - **C.** Yes, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 “successes” and 10 “failures.” [Selected Answer] - **D.** No, because the sample is a simple random sample, the sample is less than 10% of the population, and there are at least 10 “successes” and 10 “failures.” **b) Construct a 95% confidence interval for the proportion of “red snapper” packages that were a different kind of fish.** (Round to three decimal places as needed.)
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