OA. A 95% 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. OB. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% -80% - 20% of the true population parameters, while the 95% confidence inte contains 100%-95% = 5% of the true population parameters. OC. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contain the true population parameters. O D. An 80% confidence interval must be wider than a 95% confidence interval order to be more confident that it captures the true value of the population proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
K
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 12% chose chocolate pie, and the margin of error was given as
+3 percentage points. Given specific sample data, which confidence interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it wider?
Choose the correct answer below.
B
OA. A 95% 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.
OB. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% -80% - 20% of the true population parameters, while the 95% confidence interval only
contains 100%-95% = 5% of the true population parameters.
OC. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of
the true population parameters.
O D. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that it captures the true value of the population proportion.
Transcribed Image Text:K A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 12% chose chocolate pie, and the margin of error was given as +3 percentage points. Given specific sample data, which confidence interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. B OA. A 95% 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. OB. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% -80% - 20% of the true population parameters, while the 95% confidence interval only contains 100%-95% = 5% of the true population parameters. OC. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. O D. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that it captures the true value of the population proportion.
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