(B) In a hospital, an orthopedic doctor collects a random sample of 63 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 69.84% of the 63 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) nô = (у) n(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 94% 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 99% 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 63 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 69.84% of the 63 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) nô = (у) n(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 94% 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 99% confident that the true proportion of surgical total hip patients that will have improved recovery time with pre-surgical PT is between and
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text:(vi) This gives a critical z-score of
z* =
(vii) The standard error is:
SE =
(viii) The margin of error is:
МОЕ —
(ix) Hence, we are 99% confident that the true proportion of people that will vote for "Fire Hot Mouth Burner" is between
and
(B) In a hospital, an orthopedic doctor collects a random sample of 63 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 69.84% of the 63 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 =
(this is
number showed improved recovery time.)
(iv) n (1 – p) =
(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 94% 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
z* =
(vii) The standard error is:
SE =
(viii) The margin of error is:
МОЕ —
(ix) Hence, we are 99% confident that the true proportion
surgical total hip patients that will have improved recovery time with pre-surgical PT is
between
and
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