Question
A team of conservationists is interested in estimating the size of the pheasant population in a particular area prior to the hunting season. The team
A team of conservationists is interested in estimating the size of the pheasant population in a particular area prior to the hunting season. The team believes that the true population size is between 2000 and 3000. Assuming N 3000, the sampling fractions off and P2 equal to 0.25 should give a bound on the error of estimation approximately equal to 2(189.74) = 379.48. The conservationists think that this bound on the error is reasonable and so decide to choose t = 750 and n = 750. By using traps, they catch 750 pheasants for the first sample. Each of these pheasants is tagged and released. Several weeks later the second sample of n = 750 is obtained. Suppose 168 of these pheasants have tags (s = 168). Estimate the population size and place a bound on the error of estimation.
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