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
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
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).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Similar questions
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning