Chi-Square Test

# Chi-Square Test - Inference for Two-Way Tables Chapter 10...

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1 Chapter 10 Two Categorical Variables The Chi-Square Test We have learned in earlier how to use the Z-statistic to compare proportions from two groups. Inference for Two-Way Tables Now we learn a new statistic called the Chi-square ( 2 ) statistic , which will be used to compare more than two proportions . In fact, the Chi-square statistic is typically used whenever we are interested in examining the relationship between two categorical variables summarized in two-way table with r-rows and c-columns . Example A university president has proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students from this university were asked about their opinion on this issue. The following table gives the classification of the responses of these faculty members and students. Favor Oppose Neutral total Faculty 45 15 10 70 Students 90 110 30 230 Total 135 125 40 300 1. What is the marginal distribution of responses? 2. What is the conditional distribution of faculty and students who are in favor of the proposal? Chi-Square Distribution

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## This note was uploaded on 04/23/2011 for the course STAT 503 taught by Professor Staff during the Spring '08 term at Purdue.

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Chi-Square Test - Inference for Two-Way Tables Chapter 10...

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