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In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 33% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 33% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In politics, marketing, etc., we often want to estimate a percentage or proportion \( p \). One calculation in statistical polling is the margin of error—the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that \( p \) is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 33% with a margin of error of 1.9%. Describe the conclusion about \( p \) using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar \( | \) to represent absolute values. Also, when you type in \( < \) and then \( = \), the symbolic entry option will automatically convert that to \( \leq \). In the same way, if you type in \( > \) and then \( = \), the symbolic entry option will automatically convert that to \( \geq \). Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Transcribed Image Text:In politics, marketing, etc., we often want to estimate a percentage or proportion \( p \). One calculation in statistical polling is the margin of error—the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that \( p \) is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 33% with a margin of error of 1.9%. Describe the conclusion about \( p \) using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar \( | \) to represent absolute values. Also, when you type in \( < \) and then \( = \), the symbolic entry option will automatically convert that to \( \leq \). In the same way, if you type in \( > \) and then \( = \), the symbolic entry option will automatically convert that to \( \geq \). Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
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