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2 2 X~ Bin(n, P1), X2 ~ Bin(n2, P2), X3 ~ Bin(n3, P3), and they are 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,mm,m} (B) {(X1 -0.5m1)²+(X2 -0.5n2)²+(X3 -0.5n3)²≥ Ca,n1,12,3} (C) + (X1-0.5m)2(X2-0.5m)2(X3-0.5n3)2 + 12 n3 Comm} Ca,n1,2,3 (D) {X1+X2+X3-0.5N|≥ Ca,n,m,m3), where N = 1 + 2 + 3 5. Note: Con2.0's are cutoff values such that the test has size a at Co,n1,2,3 sample sizes (n1, 2, 3).

2 2 X~ Bin(n, P1), X2 ~ Bin(n2, P2), X3 ~ Bin(n3, P3), and they are 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,mm,m} (B) {(X1 -0.5m1)²+(X2 -0.5n2)²+(X3 -0.5n3)²≥ Ca,n1,12,3} (C) + (X1-0.5m)2(X2-0.5m)2(X3-0.5n3)2 + 12 n3 Comm} Ca,n1,2,3 (D) {X1+X2+X3-0.5N|≥ Ca,n,m,m3), where N = 1 + 2 + 3 5. Note: Con2.0's are cutoff values such that the test has size a at Co,n1,2,3 sample sizes (n1, 2, 3).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2 2 X1~Bin(1, P1), X2~ Bin(n2, P2), X3 ~ Bin(n3, P3), and they are 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,m,m2,3} (B) {(X1 -0.5m)²+(X2-0.5m2)²+(X3-0.5n3)² Ca,m,m2,3} (X1-0.5m)2(X2-0.5m)2(X3-0.5n3)2 + (C) {(x-05m)² + Ca, n1,2,3 12 n3 (D) {X1+X2+X3-0.5N|≥ Can,m,m}, where N = n₁ + n₂+ n3 = Note: Co,n,m,n's are cutoff values such that the test has size a at sample sizes (n1, 12, 13).
Transcribed Image Text:2 2 X1~Bin(1, P1), X2~ Bin(n2, P2), X3 ~ Bin(n3, P3), and they are 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,m,m2,3} (B) {(X1 -0.5m)²+(X2-0.5m2)²+(X3-0.5n3)² Ca,m,m2,3} (X1-0.5m)2(X2-0.5m)2(X3-0.5n3)2 + (C) {(x-05m)² + Ca, n1,2,3 12 n3 (D) {X1+X2+X3-0.5N|≥ Can,m,m}, where N = n₁ + n₂+ n3 = Note: Co,n,m,n's are cutoff values such that the test has size a at sample sizes (n1, 12, 13).
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