Power is 80% (β= 0.2), 10% significance level (α=0.1)  Assuming a difference of 25%. The success rate for the control group is 50%, and the expected success for the Surgery group is 75%. Assume equal allocation. That is 1:1 randomization. Compute the sample size needed to test the equality of proportion. This is all I need to know...

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Power is 80% (β= 0.2), 10% significance level (α=0.1) 

Assuming a difference of 25%. The success rate for the control group is 50%, and the expected success for the Surgery group is 75%. Assume equal allocation. That is 1:1 randomization. Compute the sample size needed to test the equality of proportion.
This is all I need to know...
I know that the sub alpha is 1.65. However, I am at a loss if the sub beta is 0.8, 0.84, or 1.282. 

The image contains a quote by Albert Einstein about overcoming challenges and seeking peace:

"Out of clutter, find simplicity. 
From discord, find harmony. 
In the middle of difficulty lies opportunity." 

– Albert Einstein

This quote encourages individuals to find simplicity amidst complexity, seek harmony during conflict, and discover opportunities within challenging situations.
Transcribed Image Text:The image contains a quote by Albert Einstein about overcoming challenges and seeking peace: "Out of clutter, find simplicity. From discord, find harmony. In the middle of difficulty lies opportunity." – Albert Einstein This quote encourages individuals to find simplicity amidst complexity, seek harmony during conflict, and discover opportunities within challenging situations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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