Chapter 6 - Confidence Intervals - Section 6.3 Confidence Intervals for Population Proportions - Exercises - Page 325: 8

E = 0.115 $\hat{p} = 0.36$

Lower Bound: 0.245, Upper Bound: 0.475, i) Find Error Width of Interval = Upper Bound - Lower Bound (0.475 - 0.245) = $\hat{p} + E - (\hat{p} - E)$ 0.23 = 2E E = 0.115 ii) Find $\hat{p}$ $\hat{p} - E = Lower Bound$ $\hat{p} = Lower Bound + E$ $\hat{p} = 0.245 + 0.115$ $\hat{p} = 0.36$