Lot X; bo iid Bor(p)) rv's, for i = 1.2, ..., n and Y, bo iid Bor(p2) rv's, for j = 1,2,....m. Derive the approximate 95% CI for pi – P2. %D

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1. Lot X, bc iid Bor(p,) rv's, for i = 1.2,..., n and Y, be iid Bor(p2) rv's, for j = 1,2,... m.
Derive the approximate 95% CI for pi – P2.
2. Use simulations to justify your answers. Specifically, let p – 10% and p2 – 30%,
N = n+m = 30, 50, 100, 500, 1000 and n/N = 20,30, 40, 50% respectively. Summarize
the resulls and comment on your lindings.
Transcribed Image Text:1. Lot X, bc iid Bor(p,) rv's, for i = 1.2,..., n and Y, be iid Bor(p2) rv's, for j = 1,2,... m. Derive the approximate 95% CI for pi – P2. 2. Use simulations to justify your answers. Specifically, let p – 10% and p2 – 30%, N = n+m = 30, 50, 100, 500, 1000 and n/N = 20,30, 40, 50% respectively. Summarize the resulls and comment on your lindings.
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