Homework Help is Here – Start Your Trial Now!
Math
Statistics
(B) In a hospital, an orthopedic doctor collects a random sample of 52 previous patients and checks to see if pre- surgical physical therapy strength training helps to speed their recovery after a total hip replacement. She finds that in 86.54% of the 52 patients that indeed it does. Since the doctor didn't sample every possible surgical patient she has to use a confidence interval to estimate the proportion of total hip surgical patients that will benefit from pre-surgical PT. () P = (ii) n = (ii) nộ = (iv) n (1 – p) (this is the number showed improved recovery time.) (this is the number that didn't show improved recovery time.) (v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for the confidence interval. We now need to get the critical z-score. We will use a 97% confidence level. In MS Excel we need to use the "=norm.s.inv()" command to determine the appropriate critical z-score. =norm.s.inv( (vi) This gives a critical z-score of (vii) The standard error is: SE = (viii) The margin of error is: МОЕ - (ix) Hence, we are 92% confident that the true proportion of surgical total hip patients that will have improved recovery time with pre-surgical PT is between and

(B) In a hospital, an orthopedic doctor collects a random sample of 52 previous patients and checks to see if pre- surgical physical therapy strength training helps to speed their recovery after a total hip replacement. She finds that in 86.54% of the 52 patients that indeed it does. Since the doctor didn't sample every possible surgical patient she has to use a confidence interval to estimate the proportion of total hip surgical patients that will benefit from pre-surgical PT. () P = (ii) n = (ii) nộ = (iv) n (1 – p) (this is the number showed improved recovery time.) (this is the number that didn't show improved recovery time.) (v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for the confidence interval. We now need to get the critical z-score. We will use a 97% confidence level. In MS Excel we need to use the "=norm.s.inv()" command to determine the appropriate critical z-score. =norm.s.inv( (vi) This gives a critical z-score of (vii) The standard error is: SE = (viii) The margin of error is: МОЕ - (ix) Hence, we are 92% confident that the true proportion of surgical total hip patients that will have improved recovery time with pre-surgical PT is between and

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
Topic Video
Question
100%
(B) In a hospital, an orthopedic doctor collects a random sample of 52 previous patients and checks to see if pre- surgical physical therapy strength training helps to speed their recovery after a total hip replacement. She finds that in 86.54% of the 52 patients that indeed it does. Since the doctor didn't sample every possible surgical patient she has to use a confidence interval to estimate the proportion of total hip surgical patients that will benefit from pre-surgical PT. (1) P (ii) n = (ii) nộ = (м) п (1 —р) — (this is the number showed improved recovery time.) (this is the number that didn't show improved recovery time.) - (v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for the confidence interval. We now need to get the critical z-score. We will use a 97% confidence level. In MS Excel we need to use the "=norm.s.inv()" command to determine the appropriate critical z-score. =norm.s.inv( (vi) This gives a critical z-score of (vii) The standard error is: SE (viii) The margin of error is: МОЕ — (ix) Hence, we are 92% confident that the true proportion of surgical total hip patients that will have improved recovery time with pre-surgical PT is between and
Transcribed Image Text:(B) In a hospital, an orthopedic doctor collects a random sample of 52 previous patients and checks to see if pre- surgical physical therapy strength training helps to speed their recovery after a total hip replacement. She finds that in 86.54% of the 52 patients that indeed it does. Since the doctor didn't sample every possible surgical patient she has to use a confidence interval to estimate the proportion of total hip surgical patients that will benefit from pre-surgical PT. (1) P (ii) n = (ii) nộ = (м) п (1 —р) — (this is the number showed improved recovery time.) (this is the number that didn't show improved recovery time.) - (v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for the confidence interval. We now need to get the critical z-score. We will use a 97% confidence level. In MS Excel we need to use the "=norm.s.inv()" command to determine the appropriate critical z-score. =norm.s.inv( (vi) This gives a critical z-score of (vii) The standard error is: SE (viii) The margin of error is: МОЕ — (ix) Hence, we are 92% confident that the true proportion of surgical total hip patients that will have improved recovery time with pre-surgical PT is between and
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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
  • 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