a) Are the conditions for creating a confidence interval satisfied? Explain. O A. 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." O B. 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 falures." OC. 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 " O D. 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. (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) O A. Ninety-five percent of the time, the true proportion of "red snapper" sold in these three states that is falsely labeled is between % and % O B. 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 %. O C. One is 95% confident that between % and % of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper. O D. One is 95% confident that between % and % of all "red snapper" purchased for the study in these three states was not actualy red snapper.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A consumer advocacy group published a study of labeling of seafood sold in three U.S. states. The study found that 10 of the 21 "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.
O A. 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 "fallures."
O B. 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."
OC. 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."
O D. 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.
(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.)
O A. Ninety-five percent of the time, the true proportion of "red snapper" sold in these three states that is falsely labeled is between % and %.
O B. 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 %.
O C. One is 95% confident that between % and % of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper.
O D. One is 95% confident that between
% and % of all "red snapper" purchased for the study in these three states was not actually red snapper.
Transcribed Image Text:A consumer advocacy group published a study of labeling of seafood sold in three U.S. states. The study found that 10 of the 21 "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. O A. 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 "fallures." O B. 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." OC. 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." O D. 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. (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.) O A. Ninety-five percent of the time, the true proportion of "red snapper" sold in these three states that is falsely labeled is between % and %. O B. 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 %. O C. One is 95% confident that between % and % of all "red snapper" sold in food stores and restaurants in these three states is not actually red snapper. O D. One is 95% confident that between % and % of all "red snapper" purchased for the study in these three states was not actually red snapper.
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning