Chi Square Test n2 Definition A Test To Determine The Variou

Chi Square Test ■2 Definition A Test To Determine The Various D The Chi-Square Test (χ²) is used to determine the deviations expected by chance when a specific hypothesis is true. This statistical test provides a method to analyze whether the observed distribution of data matches the expected distribution under a null hypothesis. When conducting this test, one typically begins with a known distribution from which a sample is drawn. The main goal of the Chi-Square Test is to identify the degree of deviation between the observed frequencies of occurrences in the sample and the expected frequencies derived from the known distribution. This is particularly useful in genetics, where certain genotype distributions are expected within a population based on probabilities. For instance, consider a population of plants where the genotypes and their respective probabilities are as follows: RR (Red) – 25% Rr (Orange) – 50% rr (Yellow) – 25% If there are 320 plants expected based on these probabilities, the expected observed numbers for each genotype would be: RR = 80 Rr = 160 rr = 80 After growing these plants, suppose the observed counts are: RR = 65 Rr = 189 rr = 66 The next step involves calculating the Chi-Square statistic, which is comparatively simple and involves the formula: