Confidence Intervals

Range of estimates at an unknown parameter. Computer at a designated Confidence Level

Calculating Confidence Intervals from Confidence Level

$\overline{x}-z_{\frac{a}{2}}(\frac{\sigma }{\sqrt{n}})$ < $\mu$ < $\overline{x}+z_{\frac{a}{2}}(\frac{\sigma }{\sqrt{n}})$

Calculating Confidence Intervals from Margin of Error

Intervals = Confidence level $\pm$ margin of error

Calculative Confidence Intervals from Proportion

Proportion is p in a binomial distribution $\hat{p}$

Limits - You know what these mean

Lower limit: The lowest value in the confidence interval Upper limit: The highest value in the confidence interval

Two Interval Overlap

If there is overlap between 2 confidence intervals linked to 2 seperate statistics, you are unable to tell which statistic is better than the other