Express the confidence interval 78.5 % +3.9 % in the form of a trilinear inequality. %
Express the confidence interval 78.5 % +3.9 % in the form of a trilinear inequality. %
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![# Confidence Interval and Trilinear Inequality
**Task:**
Express the confidence interval \(78.5\% \pm 3.9\%\) in the form of a trilinear inequality.
**Instructions:**
Fill in the blanks to represent the inequality:
\[
\boxed{\ \ } \% < p < \boxed{\ \ } \%
\]
**Help Options:**
- **Message Instructor:** Click to send a message for additional help.
**Action Buttons:**
- **Submit Question:** Submit your answer for evaluation.
- **Jump to Answer:** View the correct answer.
**Explanation:**
To express the confidence interval as a trilinear inequality, calculate the lower and upper bounds by subtracting and adding the margin of error (3.9%) to the given percentage (78.5%).
- **Lower Bound:** \(78.5\% - 3.9\% = 74.6\%\)
- **Upper Bound:** \(78.5\% + 3.9\% = 82.4\%\)
Thus, the trilinear inequality is:
\[
74.6\% < p < 82.4\%
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce512fdb-19b4-443f-9fea-8421ded282f2%2F51c6644d-721f-4bb8-a4ef-32b31fa6c911%2F0q7brc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Confidence Interval and Trilinear Inequality
**Task:**
Express the confidence interval \(78.5\% \pm 3.9\%\) in the form of a trilinear inequality.
**Instructions:**
Fill in the blanks to represent the inequality:
\[
\boxed{\ \ } \% < p < \boxed{\ \ } \%
\]
**Help Options:**
- **Message Instructor:** Click to send a message for additional help.
**Action Buttons:**
- **Submit Question:** Submit your answer for evaluation.
- **Jump to Answer:** View the correct answer.
**Explanation:**
To express the confidence interval as a trilinear inequality, calculate the lower and upper bounds by subtracting and adding the margin of error (3.9%) to the given percentage (78.5%).
- **Lower Bound:** \(78.5\% - 3.9\% = 74.6\%\)
- **Upper Bound:** \(78.5\% + 3.9\% = 82.4\%\)
Thus, the trilinear inequality is:
\[
74.6\% < p < 82.4\%
\]
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