Let p denote the proportion of all individuals who are allergic to a particular medication. An investigator
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Let p denote the proportion of all individuals who are allergic to a particular medication. An investigator tests individual after individual to obtain a group of r individuals who have the allergy. Let Xi = 1 if the ith individual tested has the allergy and Xi = 0 otherwise (i = 1, 2, 3,…). Recall that in this situation, Y = the number of individuals tested to obtain the desired group has a negative binomial distribution. Use the definition of sufficiency to show that Y is a sufficient statistic for p.
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Related Book For 
Modern Mathematical Statistics With Applications
ISBN: 9783030551551
3rd Edition
Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton
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