Homework Help is Here – Start Your Trial Now!
Math
Statistics
This is a follow-up question to Question 4(a-c) in Homework 4. You don't have to correctly answer that question in order to solve this question. Suppose X1, ... , Xn Bernoulli(p) with unknown p. Consider testing for Ho : p= Po vs. H1 : p + po for some known quantity po E (0, 1). Based on Question 4(c) in Homework 4, an approximate (1 – a) x 100% CI for p (when n is large) is i.i.d. (ên + Za/2V Pn(1 – Pm) , Pn+ 21-a/2\ Pn(1 – Pn) 2013. where pn = X,n and z3 is the B-quantile for standard normal. Please construct a hypothesis test with type I error rate being approximately 0.05 when n is large. Instruction: In your answer, please specify your test (i.e., when do you reject Ho and when do you not reject Ho?), and justify that it indeed has type I error rate 0.05. In your justification, if you cite a theorem studied in class, please name that theorem or state the slide number and lecture note number that contains the theorem.

This is a follow-up question to Question 4(a-c) in Homework 4. You don't have to correctly answer that question in order to solve this question. Suppose X1, ... , Xn Bernoulli(p) with unknown p. Consider testing for Ho : p= Po vs. H1 : p + po for some known quantity po E (0, 1). Based on Question 4(c) in Homework 4, an approximate (1 – a) x 100% CI for p (when n is large) is i.i.d. (ên + Za/2V Pn(1 – Pm) , Pn+ 21-a/2\ Pn(1 – Pn) 2013. where pn = X,n and z3 is the B-quantile for standard normal. Please construct a hypothesis test with type I error rate being approximately 0.05 when n is large. Instruction: In your answer, please specify your test (i.e., when do you reject Ho and when do you not reject Ho?), and justify that it indeed has type I error rate 0.05. In your justification, if you cite a theorem studied in class, please name that theorem or state the slide number and lecture note number that contains the theorem.

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
See similar textbooks
icon
Related questions
Question
Onstruct: This is a follow-up question to Question 4(a-c) in Homework 4. You don't have to correctly answer that question in order to solve this question. Suppose X1,..., Xn vs. H1 : p # po for some known quantity po E (0,1). Based on Question 4(c) in Homework 4, an approximate (1 – a) x 100% CI for p (when n is large) is i.i.d. Bernoulli(p) with unknown p. Consider testing for Ho : p= Po Pn(1 – Pm) Pn (1 – Pn) | (în + Za/2V 2, Pn+ %1-a/2 where pn = X, and z8 is the B-quantile for standard normal. Please a hypothesis %3D test with type I error rate being approximately 0.05 when n is large. Instruction: In your answer, please specify your test (i.e., when do you reject Ho and when do you not reject Ho?), and justify that it indeed has type I error rate 0.05. In your justification, if you cite a theorem studied in class, please name that theorem or state the slide number and lecture note number that contains the theorem. tate12013
Transcribed Image Text:Onstruct: This is a follow-up question to Question 4(a-c) in Homework 4. You don't have to correctly answer that question in order to solve this question. Suppose X1,..., Xn vs. H1 : p # po for some known quantity po E (0,1). Based on Question 4(c) in Homework 4, an approximate (1 – a) x 100% CI for p (when n is large) is i.i.d. Bernoulli(p) with unknown p. Consider testing for Ho : p= Po Pn(1 – Pm) Pn (1 – Pn) | (în + Za/2V 2, Pn+ %1-a/2 where pn = X, and z8 is the B-quantile for standard normal. Please a hypothesis %3D test with type I error rate being approximately 0.05 when n is large. Instruction: In your answer, please specify your test (i.e., when do you reject Ho and when do you not reject Ho?), and justify that it indeed has type I error rate 0.05. In your justification, if you cite a theorem studied in class, please name that theorem or state the slide number and lecture note number that contains the theorem. tate12013
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS