Suppose that a new treatment for a certain disease is given to a sample of 200 patients. The treatment was successful for 158 of the patients. Assume that these patients are representative of the population of individuals who have this disease. USE SALT (a) Calculate the sample proportion successfully treated. p = (b) Determine a 95% confidence interval for the proportion of the population for whom the treatment would be successful. (Round your answers to three decimal places.) to (c) Write a sentence that interprets the interval found in part (b). O O O O O We are 95% confident that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval. We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be directly in the middle of these two values. We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval. There is a 95% probability that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval. There is a 95% probability that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose that a new treatment for a certain disease is given to a sample of 200 patients. The treatment was successful for 158 of the patients. Assume that these patients are representative of the
population of individuals who have this disease.
USE SALT
(a) Calculate the sample proportion successfully treated.
p =
(b) Determine a 95% confidence interval for the proportion of the population for whom the treatment would be successful. (Round your answers to three decimal places.)
to
(c) Write a sentence that interprets the interval found in part (b).
O O O O O
We are 95% confident that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval.
We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be directly in the middle of these two values.
We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval.
There is a 95% probability that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval.
There is a 95% probability that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval.
Transcribed Image Text:Suppose that a new treatment for a certain disease is given to a sample of 200 patients. The treatment was successful for 158 of the patients. Assume that these patients are representative of the population of individuals who have this disease. USE SALT (a) Calculate the sample proportion successfully treated. p = (b) Determine a 95% confidence interval for the proportion of the population for whom the treatment would be successful. (Round your answers to three decimal places.) to (c) Write a sentence that interprets the interval found in part (b). O O O O O We are 95% confident that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval. We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be directly in the middle of these two values. We are 95% confident that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval. There is a 95% probability that if the whole population with this disease received this treatment, the proportion successfully treated would be within the interval. There is a 95% probability that if the sample group with this disease received this treatment, the proportion successfully treated would be within the interval.
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