A group of environmentalist are trying to estimate the population of the State Bird in Clearview State Park. They capture a sample of 500 birds in early spring and tag them. In August they capture 215 birds, of which 20 are tagged. a) Use the capture-recapture method to find a central estimate of the population. b) Estimate the population with a 95% confidence level. c) What objections can you raise to the way the capture-recapture method was applied to estimate the population?