Express the confidence interval 78.5 % +3.9 % in the form of a trilinear inequality. %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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:**

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- **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:

\[
74.6\% < p < 82.4\%
\]
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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