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Course: Statistics and probability?>?Unit 14
Lesson 1: Chi-square goodness-of-fit tests- Chi-square distribution introduction
- Pearson's chi square test (goodness of fit)
- Chi-square statistic for hypothesis testing
- Chi-square goodness-of-fit example
- Expected counts in a goodness-of-fit test
- Conditions for a goodness-of-fit test
- Test statistic and P-value in a goodness-of-fit test
- Conclusions in a goodness-of-fit test
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Test statistic and P-value in a goodness-of-fit test
You might need: Calculator,Chi-squared table
Problem
Finn read an article claiming that of Americans have brown hair, have black hair, have blonde hair, and have red hair. He wondered if the hair colors of students at his school followed this distribution, so he took a random sample of students and recorded their hair colors. Here are his results:
Color | Brown | Black | Blonde | Red |
---|---|---|---|---|
Students |
He wants to use these results to carry out a goodness-of-fit test to determine if the distribution of hair colors at his school disagrees with the claimed percentages.
What are the values of the test statistic and P-value for Finn's test?