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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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Conclusions in a goodness-of-fit test
Problem
When Silvia feeds her cat, she places food in different locations. She wondered if her cat was equally likely to eat first from each of the locations, so she tallied which location her cat chose first in a sample of feedings. Here are the results along with a chi-square goodness-of-fit test:
Location | Kitchen | Bedroom | Living room |
---|---|---|---|
Hypothesized | |||
Observed | |||
Expected | |||
Components | |||
Assume that all conditions for inference were met.
At the significance level, what should Silvia conclude about her cat's feeding preferences?