A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, the confidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that the sample proportion does not change, what would be the relationship between the width of the original confidence interval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000 viewers in the area? (A) The second confidence interval would be 9 times as wide as the original confidence interval. (B) The second confidence interval would be 3 times as wide as the original confidence interval. (C) The width of the second confidence interval would be equal to the width of the original confidence interval. (D) The second confidence interval would be 13 as wide as the original confidence interval. (E) The second confidence interval would be 19 as wide as the original confidence interval.
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, the confidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that the sample proportion does not change, what would be the relationship between the width of the original confidence interval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000 viewers in the area? (A) The second confidence interval would be 9 times as wide as the original confidence interval. (B) The second confidence interval would be 3 times as wide as the original confidence interval. (C) The width of the second confidence interval would be equal to the width of the original confidence interval. (D) The second confidence interval would be 13 as wide as the original confidence interval. (E) The second confidence interval would be 19 as wide as the original confidence interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
Question
Transcribed Image Text:例题5:
A 90 percent confidence interval is to be created to estimate the proportion of
television viewers in a certain area who favor moving the broadcast of the late
weeknight news to an hour earlier than it is currently. Initially, the confidence interval
will be created using a simple random sample of 9,000 viewers in the area. Assuming
that the sample proportion does not change, what would be the relationship between
the width of the original confidence interval and the width of a second 90
confidence interval that is created based on a sample of only 1,000 viewers in the
percent
area?
(A) The second confidence interval would be 9 times as wide as the original
confidence interval.
(B) The second confidence interval would be 3 times as wide as the original
confidence interval.
(C) The width of the second confidence interval would be equal to the width of the
original confidence interval.
(D) The second confidence interval would be 13 as wide as the original confidence
interval.
(E) The second confidence interval would be 19 as wide as the original confidence
interval.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill