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Course: AP??/College Statistics?>?Unit 12
Lesson 2: Chi square tests for relationships (homogeneity or independence)- Introduction to the chi-square test for homogeneity
- Chi-square test for association (independence)
- Expected counts in chi-squared tests with two-way tables
- Test statistic and P-value in chi-square tests with two-way tables
- Making conclusions in chi-square tests for two-way tables
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Test statistic and P-value in chi-square tests with two-way tables
You might need: Calculator,Chi-squared table
Problem
A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts):
Yellow | Purple | Black | Total | |
---|---|---|---|---|
Beagle | ||||
Collie | ||||
Husky | ||||
Total |
They want to use these results to carry out a test for homogeneity. Assume that all conditions for inference were met.
What are the values of the test statistic and P-value for their test?