Question: #10 Help plZz Let (X1, ..., Xn) be a random sample of binary random variables with P(Xi = 1) = p. Using the cumulative distribution

#10 Help plZz

Let (X1, ..., Xn) be a random sample of binary random variables with P(Xi = 1) = p. Using the cumulative distribution function of T = n i=1 Xi, show that a level 1 confidence interval for p is & 1 1 + nT +1 T F2(nT +1),2T ,2 , T +1 nT F2(T +1),2(nT),1 1 + T +1 nT F2(T +1),2(nT),1 ' , where 1 + 2 = , Fa,b, is the (1 )th quantile of the F-distribution Fa,b, and Fa,0, is defined to be .

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