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).
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
Related questions
Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8d46346-fe9f-45aa-a3a0-df12b7cae379%2Fb9f58790-2603-49ac-9994-2268c3624d47%2Frwpvaka_processed.jpeg&w=3840&q=75)
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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