alleryStart learning →A chi-square statistic near zero would indicate that the data:
AMatch the null closely
BContradict the null
CContain a real error
DCannot be analysed
Answer & Solution
Correct answer: A. Match the null closely
1. The statistic measures the total disagreement between observed and expected.
2. If the observed values and the corresponding expected values are not close to each other, then the test statistic can get very large.
3. The converse follows: close agreement gives a small statistic.
4. A small statistic sits near the left of the curve, far from the rejection region.
5. That is a result consistent with the null hypothesis rather than an error.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_
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