Statistics
Activity:
Inference for Two-way Tables
Posted on May 28, 2009
Topic: Hypothesis Testing
Students use the chi-square test to analyze whether two categorical variables are independent or dependent calculating expected frequencies, the test statistic and the critical values.
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Activity Key Steps:
Students will use data from a poll to investigate the independence of the variables in a two-way table. They will use spreadsheets to calculate the expected frequencies and the chi-squared test statistic. Then students will compare this value to the critical value, found using the Inverse χ command.
Students will use the χ2 2-way Test command to calculate the P-value. This will confirm students’ decision to reject or fail to reject the null hypothesis of independence.
A homework problem is included that explores testing the independence of gender and the answer to the poll question. Students can use the spreadsheet and formulas or the χ2 2-way Test command as instructed by the teacher.