1.1.d. Suppose X1, X2, ..., X100 * Bin(1,p), with p unknown. You want to test Ho : p =1/2 versus H1 : p > 1/2. Let Y = E X;. (a) Can you compute the Probability of Type I error for the following testing rule? • Reject Ho if Y > 55, • Do not reject Họ if Y < 54.
1.1.d. Suppose X1, X2, ..., X100 * Bin(1,p), with p unknown. You want to test Ho : p =1/2 versus H1 : p > 1/2. Let Y = E X;. (a) Can you compute the Probability of Type I error for the following testing rule? • Reject Ho if Y > 55, • Do not reject Họ if Y < 54.
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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Please see images attached
![i.i.d.
Suppose X1, X2, ..., X100
versus H1 : p > 1/2. Let Y = E X;.
Bin(1, p), with p unknown. You want to test Ho : p = 1/2
(a) Can you compute the Probability of Type I error for the following testing rule?
• Reject H, if Y > 55,
• Do not reject Ho if Y < 54.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb89fbe0-0a0e-4ccd-b147-bef9bc76b738%2F09690516-a5db-4768-a364-159669f6eecf%2F06t8xon_processed.png&w=3840&q=75)
Transcribed Image Text:i.i.d.
Suppose X1, X2, ..., X100
versus H1 : p > 1/2. Let Y = E X;.
Bin(1, p), with p unknown. You want to test Ho : p = 1/2
(a) Can you compute the Probability of Type I error for the following testing rule?
• Reject H, if Y > 55,
• Do not reject Ho if Y < 54.
![(b) Can you compute the Probability of Type I error for the following testing rule?
Your testing rule is
• Reject Ho if Y > 50,
• Do not reject H, if Y < 49.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb89fbe0-0a0e-4ccd-b147-bef9bc76b738%2F09690516-a5db-4768-a364-159669f6eecf%2Fy8u49nq7_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Can you compute the Probability of Type I error for the following testing rule?
Your testing rule is
• Reject Ho if Y > 50,
• Do not reject H, if Y < 49.
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