alleryStart learning →A very large chi-square statistic falls where on the chi-square curve?
AFar out in the left tail
BExactly at the centre
COutside the curve entirely
DFar out in the right tail
Answer & Solution
Correct answer: D. Far out in the right tail
1. The chi-square statistic is built from squared differences, so it cannot be negative.
2. Larger disagreement therefore always pushes it in one direction.
3. The test statistic will be way out in the right tail of the chi-square curve.
4. That is why the goodness-of-fit test is almost always right-tailed.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_
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