What is a confidence interval? A confidence interval is an estimate of a statistic, plus and minus a variation in that estimate. For example, a voting poll might give a result of 3% for an unpopular candidate plus or minus 2%. It represents how much uncertainty there is with an estimate. Learn the formula and steps to calculate the confidence interval, a statistical measurement that gives you a range of numbers in which the standard mean should appear.
The formula for a confidence interval is (mean (z* (std_dev/sqrt(n)), mean + (z* (std_dev/sqrt(n)). So, the confidence interval is (85 (1. 96*(5/sqrt(30))), 85 + (1. 96*(5/sqrt(30))) = (83. 21, 86. 79). Learn how to calculate and interpret confidence intervals for mean values based on samples. Learn the steps to find the confidence interval for means and proportions, with formulas, critical values, and examples. Follow the instructions on the left or right for numerical or categorical variables. Find out how to choose the right confidence level, critical value, and standard deviation for your statistics. You can determine a confidence interval by calculating a chosen statistic, such as the average, of a population sample, as well as the standard deviation. Choose a confidence level that best fits your hypothesis, like 90%, 95%, or 99%, and calculate your margin of error by using the corresponding equation.
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