Biology 2244A/B Lecture Notes - Lecture 8: Color Blindness, Confidence Interval, Binomial Distribution
2 Jan 2017
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Formula for binomial probabilities becomes challenging as number of observations n increases. As the number of observations n gets larger, the binomial distribution gets close to a normal distribution: when n is large, we can use normal probability calculations to approximate binomial probabilities. Whether or not you use the normal approximation should depend on how accurate your calculations need to be. E. g. continuous equivalent to a 1250 count is the interval between 1249. 5 and 1250. 5. In the obesity example, we would get a slightly more accurate normal approximation of the probability that 1250 or more individuals in the sample are overweight/obese by finding. P(x 1249. 5: continuity correction is especially helpful when the sample size is small. If the number of observations is n, then the sample proportion is. Like the sample average xbar when studying quantitative variables, sample counts and sample proportions are common statistics when dealing with categorical data.
