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Concerned about reports of discolored scales on fish caught downstream from a ne

ID: 3041138 • Letter: C

Question

Concerned about reports of discolored scales on fish caught downstream from a newly sited chemical plant, scientists set up a field station in a shoreline public park. For one week they asked fishermen there to bring any fish they caught to the field station for a brief inspection. At the end of the week, the scientists said that 47% of the 230 fish that were submitted for inspection displayed the discoloration. From this information, can the researchers estimate what proportion of fish in the river have discolored scales? Explain.

Choose the correct answer below.

A. If discolored fish are not equally likely to be caught as normal fish, or fisherman are more disposed to bring discolored fish than normal fish, then the sample will be biased and resulting estimation will be biased.

B. If the population of fish is less than 10 times the sample size, 230, then the sample will be too large and the resulting estimation will be inaccurate.

C. If discolored fish are not equally likely to be caught as normal fish, or fisherman are more disposed to bring discolored fish than normal fish, then the sample will be representational and the resulting estimation will be unbiased.

D. If the population of fish is less than 10 times the sample size, 230, then the sample will be sufficiently large and the resulting estimation will be accurate.

Explanation / Answer

here option A is correct

A. If discolored fish are not equally likely to be caught as normal fish, or fisherman are more disposed to bring discolored fish than normal fish, then the sample will be biased and resulting estimation will be biased.

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