Question: This is an example of how to perform statistical analysis even though only summary statistics are available. The state wildlife biologists want to model how


This is an example of how to perform statistical analysis even though only summary statistics are available. The state wildlife biologists want to model how many sh are being caught by visitors at a state park. We extract several descriptive statistics from this dataset: o The total number of visitors 2 500 0 Sample mean = 1.80 0 Sample variance 2 4.06 0 Percentage of zeroes = 44.0%. 1. Some visitors who did sh did not catch any sh. Some visitors did not sh, but there is no data indicating whether a person shed or not. So there are excess zeros in this dataset. Now we want to model with zero~inated Poisson (ZIP) distribution. The p.m.f of ZIP model are: Pr(X = U) = 11' + [1 1r) exp(A) Pr(X = :1?) = (1 7r) exp(A)A for any x :> D. 3! Estimate parameters TI: and Pt with the method of moments. Then calculate the expected percentage of zeroes based on your estimated ZIP model
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