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To calculate the confidence limits for a measurement variable, multiply the standard error of the mean times the appropriate t-value. The t-value is determined by the probability (0.05 for a 95% confidence interval) and the degrees of freedom (nâ1).
Unfortunately, more people use the confidence limits based on the normal approximation than use the correct, binomial confidence limits. The formula for the 95% confidence interval using the normal approximation is p Â±1.96â[p(1-p)/n], where p is the proportion and n is the sample size.