A capture-recapture experiment designed to estimate the size of a fish population in a lake was carried out in two phases. In the first phase, 400 fish were captured, tagged, and released. In the second phase, 157 fish were captured, of which 27 were found to be tagged. Provide answers to the following to the nearest integer.
(a) Making the necessary assumptions about independent sampling, give an estimate of the size of the fish population. 0.828
(b) Give a standard error for your estimate in (a). 0.0009
(c) Using a more accurate method than simply finding the estimate plus/minus 1.96 SE, give a 95% confidence interval for the population size.
( 0.170210 , 0.173738 )