Health Sciences 3801A/B Lecture Notes - Lecture 5: Binomial Distribution, Confidence Interval, Standard Deviation

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Data in which a person can fall into one category or another. Binomial proportion probability of a given event. Mutually exclusive and exhaustive categories - there cannot be a third category. Binomial experiments flipping a coin - consider proportion w/ 2 categories and 2 outcomes z-test of proportions. Standard deviation = center of the sampling distribution proportions. P = best guess & what you are testing against. Denominator = standard deviation of the binomial distribution z-test of proportions. P = 0. 5 - deviating from 0. 5 gives a smaller variance. Best at predicting when the variance is greater and at the center of the mean. More variability in a sample better correlation. Z-test is used when you have information about the population standard deviation. Using the sample proportion to compare against the assumed value of the population in the denominator. You cannot have a one-tailed confidence interval b/c there is always a tail and bound while alpha is split.

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