C. No, because the sam is a simple random mple, the sample is less than tion, and there are at least 10 "successes" and 10 "failures." OD. 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) Construct a 95% confidence interval for the proportion of "red snapper" packages that were a different kind of fish. 0.362, 0.768) (Round to three decimal places as needed.) c) Explain what the confidence interval from part (b) says about "red snapper" sold in these three states. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.). OA. One is 95% confident that between % of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper. OB. One is 95% confident that between % and % of all "red snapper" purchased for the study in these three states was not actually red snapper. OC. There is a 95% chance that the probability of any given "red snapper" sold in these three states being actual red snapper is between % and OD. Ninety-five percent of the time, the true proportion of "red snapper" sold in these three states that is falsely labeled is between % and %. % and %.

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**Educational Website Content**

---

**Study on Seafood Labeling Accuracy**

A consumer advocacy group published a study regarding the labeling of seafood sold in three U.S. states. The study revealed that out of 23 "red snapper" packages, 13 were a different type of fish. A simple random sample was used for the study. Below are tasks involving the interpretation of these results.

### a) Conditions for Creating a Confidence Interval

**Question:** Are the conditions for creating a confidence interval satisfied? Explain.

- **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."** (Correct)
- 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."
- 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."
- 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) Construct a 95% Confidence Interval

**Task:** Construct a 95% confidence interval for the proportion of "red snapper" packages that were mislabeled.

- **[0.362, 0.768]**

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

### c) Interpretation of the Confidence Interval

**Question:** What does the confidence interval indicate about the labeling of "red snapper" in these states? Choose the correct answer.

- **A. One is 95% confident that between [36.2]% and [76.8]% of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper.** (Correct)
- B. One is 95% confident that between % and % of all "red snapper" purchased for the study in these three states was not actually red snapper.
- C. There is a 95% chance that the probability of any given "red snapper" sold in these three states being actual red snapper is between % and %.
- D. Ninety
Transcribed Image Text:**Educational Website Content** --- **Study on Seafood Labeling Accuracy** A consumer advocacy group published a study regarding the labeling of seafood sold in three U.S. states. The study revealed that out of 23 "red snapper" packages, 13 were a different type of fish. A simple random sample was used for the study. Below are tasks involving the interpretation of these results. ### a) Conditions for Creating a Confidence Interval **Question:** Are the conditions for creating a confidence interval satisfied? Explain. - **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."** (Correct) - 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." - 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." - 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) Construct a 95% Confidence Interval **Task:** Construct a 95% confidence interval for the proportion of "red snapper" packages that were mislabeled. - **[0.362, 0.768]** *(Round to three decimal places as needed.)* ### c) Interpretation of the Confidence Interval **Question:** What does the confidence interval indicate about the labeling of "red snapper" in these states? Choose the correct answer. - **A. One is 95% confident that between [36.2]% and [76.8]% of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper.** (Correct) - B. One is 95% confident that between % and % of all "red snapper" purchased for the study in these three states was not actually red snapper. - C. There is a 95% chance that the probability of any given "red snapper" sold in these three states being actual red snapper is between % and %. - D. Ninety
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