MGCR 271 Lecture Notes - Lecture 2: Null Hypothesis, Sample Size Determination, Statistical Hypothesis Testing
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H0: the two criteria are independent of each other. H1: the two criteria are not independent of each other. H0: p1 = p2 = p3 = = pi (the populations are homogeneous). H1: not all p"s are equal (the populations are not homogeneous). Oij = observed frequency for (i, j) cell. Eij = expected frequency for (i, j) cell. n = sample size. A teacher at mcgill university claims that the amount of smoking done by undergraduate students depends on the year of study. A random sample of 200 students registered in the bcom program was surveyed with the following results: Test the teacher"s claim at the 5% level of significance. Assuming that the null hypothesis is true, calculate the expected frequencies: Eij = p(an observation is found in i-j cell)*n = p(joint)*n. Recall that the following property of statistical independence should be true under h0: Eij = p(row)*p(column)*n = (rti / n)*(ctj / n)*n =