next up previous contents
Next: One-sided (Left-tailed) Confidence Intervals Up: Proportions Previous: Computational Details   Contents

Two-sided Confidence Intervals

The two-sided $ 100\cdot(1-\alpha)\%$ confidence interval is centered at $ \hat{p}$ and has upper and lower limits given by:

   upper limit$\displaystyle \;=\;\hat{p}+z_{\alpha/2}\cdot\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$   Cell B17

   lower limit$\displaystyle \;=\;\hat{p}-z_{\alpha/2}\cdot\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$   Cell B19



gene quinn 2006-12-04