A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% confidence interval or the 80% confidence interval? Why is it wider?
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% confidence interval or the 80% confidence interval? Why is it wider?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
Related questions
Question
![A magazine provided results from a poll of 500 adults who were asked to identify their favorite
pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given
as ±5 percentage points. Given specific sample data, which confidence interval is wider: the
99% confidence interval or the 80% confidence interval? Why is it wider?
Choose the correct answer below.
O A. An 80% confidence interval must be wider than a 99% confidence interval because it
contains 100% - 80% = 20% of the true population parameters, while the 99%
confidence interval only contains 100% -99% = 1% of the true population parameters.
B. An 80% confidence interval must be wider than a 99% confidence interval in order to
be more confident that it captures the true value of the population proportion.
O C. A 99% confidence interval must be wider than an 80% confidence interval because it
contains 99% of the true population parameters, while the 80% confidence interval only
contains 80% of the true population parameters.
OD. A 99% confidence interval must be wider than an 80% confidence interval in order to
be more confident that it captures the true value of the population proportion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb94ebdbc-2b2d-4ad8-a7a8-f80064954d96%2Ffec08a4d-0f1d-4bdf-a1d7-c9d2460185a4%2F554rmh9_processed.png&w=3840&q=75)
Transcribed Image Text:A magazine provided results from a poll of 500 adults who were asked to identify their favorite
pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given
as ±5 percentage points. Given specific sample data, which confidence interval is wider: the
99% confidence interval or the 80% confidence interval? Why is it wider?
Choose the correct answer below.
O A. An 80% confidence interval must be wider than a 99% confidence interval because it
contains 100% - 80% = 20% of the true population parameters, while the 99%
confidence interval only contains 100% -99% = 1% of the true population parameters.
B. An 80% confidence interval must be wider than a 99% confidence interval in order to
be more confident that it captures the true value of the population proportion.
O C. A 99% confidence interval must be wider than an 80% confidence interval because it
contains 99% of the true population parameters, while the 80% confidence interval only
contains 80% of the true population parameters.
OD. A 99% confidence interval must be wider than an 80% confidence interval in order to
be more confident that it captures the true value of the population proportion.
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