# Chapter 6 - Confidence Intervals - Section 6.3 Confidence Intervals for Population Proportions - Exercises - Page 325: 10

E = 0.088 $\hat{p} = 0.175$

#### Work Step by Step

Lower Bound: 0.087, Upper Bound: 0.263, i) Find Error Width of Interval = Upper Bound - Lower Bound (0.263 - 0.087) = $\hat{p} + E - (\hat{p} - E)$ 0.176 = 2E E = 0.088 ii) Find $\hat{p}$ $\hat{p} - E = Lower Bound$ $\hat{p} = Lower Bound + E$ $\hat{p} = 0.087 + 0.088$ $\hat{p} = 0.175$

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