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Statistics: Chi-Square Tests

by
Texas
Instruments

Published on December 04, 2011

- Students will recognize that chi-squared tests are for counts of categorical data.
- Students will identify the appropriate chi-squared test to use for a given situation: X
^{2}Goodness of Fit Test, X^{2}Test of Independence, or X^{2}Test of Homogeneity. - Students will learn how to calculate the degrees of freedom for each type of chi-squared test.
- Students will interpret the results of a chi-square test.

- alpha
- categorical data
- chi-squared (X
^{2}distribution) - degrees of freedom
- expected counts
- goodness-of-fit test
- observed counts
- p-value
- test of homogeneity
- test of independence

This lesson involves investigating chi-squared tests and distributions.

As a result, students will:

- Compare different scenarios and determine which chi-square test is appropriate.
- Write the appropriate null and alternative hypotheses for the given scenario.
- Determine the degrees of freedom for the chi-square test.
- Look at chi-square test results and make the correct decision to reject or fail to reject the null hypothesis and write their conclusions in context.

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