1 Considering the chisquare distribution and the three princ

1. Considering the chi-square distribution and the three principal applications of the distribution:

a) outline the basic ideas behind the chi-square test of independence. What is a contingency table? What are the null and alternative hypotheses? How is the test statistic constructed? What basic assumptions underlie this application of the chi-square distribution?

b) outline the basic ideas behind the chi-square test of goodness of fit. What are the null and alternative hypotheses? How is the test statistic constructed? There are a number of direct similarities between tests of indepence and tests of goodness of fit. Discuss and summarize these similarities.

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