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2 X1 ~ Bin(n1, P1), X2 ~ Bin(n2, p2), X3 ~ Bin(n3, p3), and they are 2 = all independent of each other. To test Ho P1 P2 = p3 = 0.5 v.s. H₁ not Ho, which of the following is a good critical region of a size-a test? (A) {X1+X2+ X3 ≥ Ca,n1,n2, n3} (B) {(X1 -0.5n1)² + (X2 - 0.5n2)² + (X3 - 0.5n3)² ≥ Ca, m, n,n3} (C) {(xX1-0.5m1)² (X2-0.5n2)2 (X3-0.5n3)2 + + n1 n3 n2 Ca, n1, N2, N3 (D) {X1+X2+ X3-0.5N| ≥ Ca, n1,n2, n3}, where N = 1 + 2 + 3 's are cutoff values such that the test has size a at Note: Ca,n1,2,3 sample sizes (n1, N2, N3).

2 X1 ~ Bin(n1, P1), X2 ~ Bin(n2, p2), X3 ~ Bin(n3, p3), and they are 2 = all independent of each other. To test Ho P1 P2 = p3 = 0.5 v.s. H₁ not Ho, which of the following is a good critical region of a size-a test? (A) {X1+X2+ X3 ≥ Ca,n1,n2, n3} (B) {(X1 -0.5n1)² + (X2 - 0.5n2)² + (X3 - 0.5n3)² ≥ Ca, m, n,n3} (C) {(xX1-0.5m1)² (X2-0.5n2)2 (X3-0.5n3)2 + + n1 n3 n2 Ca, n1, N2, N3 (D) {X1+X2+ X3-0.5N| ≥ Ca, n1,n2, n3}, where N = 1 + 2 + 3 's are cutoff values such that the test has size a at Note: Ca,n1,2,3 sample sizes (n1, N2, N3).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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2 X1 ~ Bin(n1, P1), X2 ~ Bin(n2, p2), X3 ~ Bin(n3, p3), and they are 2 = all independent of each other. To test Ho P1 P2 = p3 = 0.5 v.s. H₁ not Ho, which of the following is a good critical region of a size-a test? (A) {X1+X2+ X3 ≥ Ca,n1,n2, n3} (B) {(X1 -0.5n1)² + (X2 - 0.5n2)² + (X3 - 0.5n3)² ≥ Ca, m, n,n3} (C) {(xX1-0.5m1)² (X2-0.5n2)2 (X3-0.5n3)2 + + n1 n3 n2 Ca, n1, N2, N3 (D) {X1+X2+ X3-0.5N| ≥ Ca, n1,n2, n3}, where N = 1 + 2 + 3 's are cutoff values such that the test has size a at Note: Ca,n1,2,3 sample sizes (n1, N2, N3).
Transcribed Image Text:2 X1 ~ Bin(n1, P1), X2 ~ Bin(n2, p2), X3 ~ Bin(n3, p3), and they are 2 = all independent of each other. To test Ho P1 P2 = p3 = 0.5 v.s. H₁ not Ho, which of the following is a good critical region of a size-a test? (A) {X1+X2+ X3 ≥ Ca,n1,n2, n3} (B) {(X1 -0.5n1)² + (X2 - 0.5n2)² + (X3 - 0.5n3)² ≥ Ca, m, n,n3} (C) {(xX1-0.5m1)² (X2-0.5n2)2 (X3-0.5n3)2 + + n1 n3 n2 Ca, n1, N2, N3 (D) {X1+X2+ X3-0.5N| ≥ Ca, n1,n2, n3}, where N = 1 + 2 + 3 's are cutoff values such that the test has size a at Note: Ca,n1,2,3 sample sizes (n1, N2, N3).
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