SOLUTION: A national forest service wanted to estimate the number of deer in a particular national park. They caught and tagged 71 deer and released them back into the park Later they selec

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Question 199239: A national forest service wanted to estimate the number of deer in a particular national park. They caught and tagged 71 deer and released them back into the park Later they selected a sample of 272 deer. Of the 272 deer, 16 were tagged. Assuming that the proportion of tagged deeer in the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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They caught and tagged 71 deer and released them back into the park.
Later they selected a sample of 272 deer. Of the 272 deer, 16 were tagged.
Assuming that the proportion of tagged deer in the sample holds for all deer
in the forest, what is the best estimate of the number of deer in the park?
:
Use a ratio equation:
16%2F71 = 272%2Fx
Cross multiply
16x = 71*272
16x = 19312
x = 19312%2F16
x = 1207 deer, est 1200 deer in the park