1. Chapter 13- Inference For Tables: Chi-square Procedures Section 13.1- Test for goodness of fit Section 13.2- Inference for Two-Way tables Presented By: Tyesha Bailey

2. Introduction: Things to learn throughout the chapter  Goodness of Fit  Calculate expected values for every category in a distribution, chi-squared statistic, and P-value  State the null and alternative hypothesis for differences between two distributions  Use components of the chi-square statistic to identify the most important deviations between observed and expected counts  Two-Way Tables  Arrange data for successes and failures into a two- way table

3. Introduction: Things to learn throughout the chapter Continued….  Use percents to describe relationships between two categorical variables  Interpreting Chi-square tests of Independence  Identify expected cell counts, chi-square statistic, and its P-value using the calculator  Explain what the null hypothesis the chi-square statistic tests in a specific two-way table  Determine the deviations from the null hypothesis by using percents, comparison of expected and observed counts, and the components of chi- square statistic

4. Introduction: Things to learn throughout the chapter Continued….  Doing Chi-square Tests  Calculate the expected value of any observed count in a two-way table  Calculate the component of the chi-square statistic for any cell,  Give the degrees of freedom for the chi-square statistic  Use chi-square critical values to approximate the P-value of a chi-square test

5. Vocabulary: Words to be familiar with throughout the chapter  Chi-square test for goodness of fit- test that shows the difference between the observed sample and the hypothesis population distributions  Chi-square distributions- Family of distributions that take only positive values and are skewed right  Degrees of freedom- chi-square distribution specified by one parameter  Goodness of fit test- helps determine whether a population has a certain hypothesized distribution, and expressed as percents of population

6. Vocabulary: Words to be familiar with throughout the chapter  Expected counts- any cell of a two-way table when the alternative hypothesis is true  Chi-square statistic- a measure of how far the observed counts in a two- way table are from the expected counts.

7. Examples Of Topics/ Equations Two-way table Two-way table Expected Count Expected Count Chi-square, Degrees of freedom, P-value Chi-square, Degrees of freedom, P-value

8. Conclusion of Chapter 13/ Need to know Topics  Chi-square test for goodness of fit  Chi-square test for independence  Goodness of fit test  Degrees of freedom  Two-way tables  P-values  Expected Counts  Chi-square Statistic  All equations in the chapter