Subjects statistics

Confidence Interval 000Ef5

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Question: Express the confidence interval 18.6% \u00b1 5.8% in the form of a trilnear inequality.
1. **State the problem:** We need to express the confidence interval given as $18.6\% \pm 5.8\%$ in the form of a trilnear inequality. 2. **Understand the confidence interval:** The confidence interval means the parameter $p$ lies within $5.8\%$ above or below $18.6\%$. 3. **Write the inequality:** This can be expressed as: $$18.6\% - 5.8\% < p < 18.6\% + 5.8\%$$ 4. **Calculate the bounds:** $$18.6 - 5.8 = 12.8$$ $$18.6 + 5.8 = 24.4$$ 5. **Final inequality:** $$12.8\% < p < 24.4\%$$ This is the trilnear inequality form of the confidence interval.