BFW Publishers (1-3)= Round to the nearest whole number. Round to the nearest whole number. The conditions for inference met. DO: to CONCLUDE: Note: A = the lower bound of the confidence interval and B = the upper bound of the confidence interval. that the interval from A to B captures the traditional I surgery patients and the proportion of TAVR patients who will have negative outcomes. of The interval suggests that the percent of traditional surgery patients like these who have negative outcomes is between A percentage points and B percentage points than the percent for TAVR patients like these. (b) Based on your interval, is there convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method? Explain your reasoning. No. Because the plausible values for the difference in proportions are all positive, there is not convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method. Yes. Because the plausible values for the difference in proportions are all negative, there is convincing evidence that a greater proportion of subjects like these will have negative outcomes with the new TAVR method. Yes. Because the plausible values for the difference in proportions are all positive, there is convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method. No. Because the plausible values for the difference in proportions are all negative, there is not convincing evidence that a greater proportion of subjects like these will have negative outcomes with the new TAVR method. MacBook Air K BFW Publishers For patients needing an aortic valve replacement, there are two commonly used approaches-traditional surgery and a new method called transcatheter aortic valve replacement (TAVR). Researchers want to know if the new TAVR method produces better outcomes, so they randomly assigned patients to the two approaches and then recorded the number of patients who had negative outcomes (death, stroke, or rehospitalization). Of the 454 patients assigned to undergo traditional surgery, 68 had negative outcomes. Of the 496 patients assigned TAVR, only 42 had negative outcomes. (a) Construct and interpret a 99% confidence interval for the true difference (Surgery - TAVR) in the proportion of patients like these who would have negative outcomes. STATE: 99% CI for Ps-Pr, where ps = the proportion of patients in the sample who have traditional surgery that will have negative outcomes and PT = the proportion of patients in the sample who have TAVR surgery that will have negative outcomes. 99% CI for XS-XT, where Xs = the mean number of patients in the sample who have traditional surgery that will have negative outcomes and * = the mean number of patients in the sample who have TAVR surgery that will have negative outcomes. 99% CI for ps-PT, where ps the true proportion of patients who have traditional surgery that will have negative outcomes and p+= the true proportion of patients who have TAVR surgery that will have negative outcomes. 99% CI for μs-T, where μs the true mean number of patients who have traditional surgery that will have negative outcomes and the true mean number of patients who have TAVR surgery that will have negative outcomes. PLAN: Name of inference procedure: Random? Large Counts? nsPs= Round to the nearest whole number. ns (1-Ps)= Round to the nearest whole number. MacBook Air

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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BFW Publishers
(1-3)=
Round to the nearest whole number.
Round to the nearest whole number.
The conditions for inference
met.
DO:
to
CONCLUDE:
Note: A = the lower bound of the confidence interval and B = the upper bound of the confidence interval.
that the interval from A to B captures the
traditional I surgery patients and the proportion of TAVR patients who will have negative outcomes.
of
The interval suggests that the percent of traditional surgery patients like these who have negative outcomes is between A
percentage points and B percentage points
than the percent for TAVR patients like these.
(b) Based on your interval, is there convincing evidence that a lesser proportion of subjects like these will have negative
outcomes with the new TAVR method? Explain your reasoning.
No. Because the plausible values for the difference in proportions are all positive, there is not convincing evidence that
a lesser proportion of subjects like these will have negative outcomes with the new TAVR method.
Yes. Because the plausible values for the difference in proportions are all negative, there is convincing evidence that a
greater proportion of subjects like these will have negative outcomes with the new TAVR method.
Yes. Because the plausible values for the difference in proportions are all positive, there is convincing evidence that a
lesser proportion of subjects like these will have negative outcomes with the new TAVR method.
No. Because the plausible values for the difference in proportions are all negative, there is not convincing evidence that
a greater proportion of subjects like these will have negative outcomes with the new TAVR method.
MacBook Air
Transcribed Image Text:BFW Publishers (1-3)= Round to the nearest whole number. Round to the nearest whole number. The conditions for inference met. DO: to CONCLUDE: Note: A = the lower bound of the confidence interval and B = the upper bound of the confidence interval. that the interval from A to B captures the traditional I surgery patients and the proportion of TAVR patients who will have negative outcomes. of The interval suggests that the percent of traditional surgery patients like these who have negative outcomes is between A percentage points and B percentage points than the percent for TAVR patients like these. (b) Based on your interval, is there convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method? Explain your reasoning. No. Because the plausible values for the difference in proportions are all positive, there is not convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method. Yes. Because the plausible values for the difference in proportions are all negative, there is convincing evidence that a greater proportion of subjects like these will have negative outcomes with the new TAVR method. Yes. Because the plausible values for the difference in proportions are all positive, there is convincing evidence that a lesser proportion of subjects like these will have negative outcomes with the new TAVR method. No. Because the plausible values for the difference in proportions are all negative, there is not convincing evidence that a greater proportion of subjects like these will have negative outcomes with the new TAVR method. MacBook Air
K
BFW Publishers
For patients needing an aortic valve replacement, there are two commonly used approaches-traditional surgery and a new
method called transcatheter aortic valve replacement (TAVR). Researchers want to know if the new TAVR method produces
better outcomes, so they randomly assigned patients to the two approaches and then recorded the number of patients who had
negative outcomes (death, stroke, or rehospitalization). Of the 454 patients assigned to undergo traditional surgery, 68 had
negative outcomes. Of the 496 patients assigned TAVR, only 42 had negative outcomes.
(a) Construct and interpret a 99% confidence interval for the true difference (Surgery - TAVR) in the proportion of patients like
these who would have negative outcomes.
STATE:
99% CI for Ps-Pr, where ps = the proportion of patients in the sample who have traditional surgery that will have
negative outcomes and PT = the proportion of patients in the sample who have TAVR surgery that will have negative
outcomes.
99% CI for XS-XT, where Xs = the mean number of patients in the sample who have traditional surgery that will have
negative outcomes and * = the mean number of patients in the sample who have TAVR surgery that will have
negative outcomes.
99% CI for ps-PT, where ps the true proportion of patients who have traditional surgery that will have negative
outcomes and p+= the true proportion of patients who have TAVR surgery that will have negative outcomes.
99% CI for μs-T, where μs the true mean number of patients who have traditional surgery that will have negative
outcomes and the true mean number of patients who have TAVR surgery that will have negative outcomes.
PLAN:
Name of inference procedure:
Random?
Large Counts?
nsPs=
Round to the nearest whole number.
ns (1-Ps)=
Round to the nearest whole number.
MacBook Air
Transcribed Image Text:K BFW Publishers For patients needing an aortic valve replacement, there are two commonly used approaches-traditional surgery and a new method called transcatheter aortic valve replacement (TAVR). Researchers want to know if the new TAVR method produces better outcomes, so they randomly assigned patients to the two approaches and then recorded the number of patients who had negative outcomes (death, stroke, or rehospitalization). Of the 454 patients assigned to undergo traditional surgery, 68 had negative outcomes. Of the 496 patients assigned TAVR, only 42 had negative outcomes. (a) Construct and interpret a 99% confidence interval for the true difference (Surgery - TAVR) in the proportion of patients like these who would have negative outcomes. STATE: 99% CI for Ps-Pr, where ps = the proportion of patients in the sample who have traditional surgery that will have negative outcomes and PT = the proportion of patients in the sample who have TAVR surgery that will have negative outcomes. 99% CI for XS-XT, where Xs = the mean number of patients in the sample who have traditional surgery that will have negative outcomes and * = the mean number of patients in the sample who have TAVR surgery that will have negative outcomes. 99% CI for ps-PT, where ps the true proportion of patients who have traditional surgery that will have negative outcomes and p+= the true proportion of patients who have TAVR surgery that will have negative outcomes. 99% CI for μs-T, where μs the true mean number of patients who have traditional surgery that will have negative outcomes and the true mean number of patients who have TAVR surgery that will have negative outcomes. PLAN: Name of inference procedure: Random? Large Counts? nsPs= Round to the nearest whole number. ns (1-Ps)= Round to the nearest whole number. MacBook Air
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