While doing research on a lake, biologists tagged 200 walleye. Later, they captured 160 walleye, of which 16 had tags. What is the BEST estimate for the walleye population?

Responses
A 3,000
B 2,000
C 2,600
D 2,300

We can use a proportion to estimate the population:

(known tagged population / total number recaptured) = (total population / sample recaptured)

Plugging in the values we know:

(200 / 16) = (x / 160)

Solving for x:

x = 200 * 10

x = 2,000

Therefore, the BEST estimate for the walleye population is option B, 2,000.

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To estimate the walleye population, we can use a method called the Lincoln-Petersen index. This method assumes that the proportion of tagged fish in the captured sample is representative of the proportion of tagged fish in the entire population.

First, we calculate the proportion of tagged fish in the captured sample:
Proportion of tagged fish in sample = (Number of tagged fish in sample) / (Total number of fish in sample)
Proportion of tagged fish in sample = 16 / 160 = 0.1

Next, we can use this proportion to estimate the total population size:
Estimated population size = (Total number of tagged fish) / (Proportion of tagged fish in sample)
Estimated population size = 200 / 0.1 = 2000

Therefore, the best estimate for the walleye population is B) 2,000.