In an aerial survey of a region in interior Alaska, 82 moose were detected. Intensive supplemental studies determined the probability of detection to be 0.89. Estimate the total number of moose in the study region and estimate the variance of that estimate. [The data for this exercise and Exercise 3 are from Reed (1990); additional structure of the survey has been ignored for this exercise.]
Exercise 3
A simple random sample of n = 20 plots are selected for an aerial survey and the following numbers of moose are detected: 0, 0, 0, 0, 1, 2, 6, 11, 5, 1, 9, 3, 1, 0, 10, 4, 7, 22, 0, 0. Assuming detectability of 0.89, estimate the mean number of moose and give an estimate of variance. The study region contains N = 100 plots.