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8.9: Chapter 8 Formulas
https://stats.libretexts.org/Workbench/Introduction_to_Statistical_Methods_(Yuba_College)/08%3A_Confidence_Intervals_for_One_Population/8.09%3A_Chapter_8_Formulas
&\hat{p} \pm z_{\frac{\alpha}{2}} \sqrt{\left(\frac{\hat{p q}}{n}\right)} \\ $n=p^{*} \cdot q^{*}\left(\frac{z_{\alpha / 2}}{E}\right)^{2}$ If p is not given use p* = 0.5. \(\bar{x} \pm z_{\frac{\al...&\hat{p} \pm z_{\frac{\alpha}{2}} \sqrt{\left(\frac{\hat{p q}}{n}\right)} \\ $n=p^{*} \cdot q^{*}\left(\frac{z_{\alpha / 2}}{E}\right)^{2}$ If p is not given use p* = 0.5. $\bar{x} \pm z_{\frac{\alpha}{2}}\left(\frac{\sigma}{\sqrt{n}}\right)$ TI-84: z $\alpha$ /2 = invNorm(1–area/2,0,1) TI-84: t $\alpha$ /2 = invT(1–area/2,df) $\bar{x} \pm t_{\alpha / 2}\left(\frac{s}{\sqrt{n}}\right)$ $n=\left(\frac{z_{\alpha / 2} \cdot \sigma}{E}\right)^{2}$
6.8: One Sample Confidence Interval Formulas
https://stats.libretexts.org/Workbench/Statistics_for_Behavioral_Science_Majors/06%3A_Confidence_Intervals_for_One_Population/6.08%3A_One_Sample_Confidence_Interval_Formulas
Confidence Interval for One Proportion &\hat{p} \pm z_{\frac{\alpha}{2}} \sqrt{\left(\frac{\hat{p q}}{n}\right)} \\ $n=p^{*} \cdot q^{*}\left(\frac{z_{\alpha / 2}}{E}\right)^{2}$ If p is not given u...Confidence Interval for One Proportion &\hat{p} \pm z_{\frac{\alpha}{2}} \sqrt{\left(\frac{\hat{p q}}{n}\right)} \\ $n=p^{*} \cdot q^{*}\left(\frac{z_{\alpha / 2}}{E}\right)^{2}$ If p is not given use p* = 0.5. Confidence Interval for One Mean $\bar{x} \pm z_{\frac{\alpha}{2}}\left(\frac{\sigma}{\sqrt{n}}\right)$ TI-84: z $\alpha$ /2 = invNorm(1–area/2,0,1) $\bar{x} \pm t_{\alpha / 2}\left(\frac{s}{\sqrt{n}}\right)$ $n=\left(\frac{z_{\alpha / 2} \cdot \sigma}{E}\right)^{2}$

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