BIOL 3P96 Lecture Notes - Lecture 8: Sampling Distribution, Binomial Test, Binomial Distribution

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Biol 3p96 lecture 8: fitting probability models to frequency data. Events fall in different categories in proportion to the number of opportunities. Rejecting h0 implies that the probabilities are not proportional. Probability of x successes out of n trials. Probability of getting x successes in a block of time or space, when each happens independently. Compare an observed frequency distribution with the frequency distribution expected under a simple probability model. Rejecting the null hypothesis confirms real patterns in nature. Binomial test is limited to categorical variables with only two possible outcomes. Compares count data (categorical & discrete numerical variables) to a probability model stated by the null hypothesis. A probability distribution describing a discrete numerical variable. Number of heads from 10 flips of a coin. Number of flowers in a square meter. Number of disease outbreaks in a year. H0: the data come from a particular discrete probability distribution. Ha: the data do not come from that distribution.

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