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Which of the following hypotheses does the Chi-squared test evaluate?

easy📝 Conceptual Q2 of 15
SciPy - Statistical Tests

Which of the following hypotheses does the Chi-squared test evaluate?

ANull hypothesis that observed and expected frequencies are the same
BAlternative hypothesis that means are equal
CNull hypothesis that two variables are linearly related
DAlternative hypothesis that variances are equal
Step-by-Step Solution
Solution:
  1. Step 1: Recall Chi-squared test hypotheses

    The test checks if observed frequencies match expected frequencies under the null hypothesis.
  2. Step 2: Match the correct hypothesis

    The null hypothesis states no difference between observed and expected counts.
  3. Final Answer:

    Null hypothesis that observed and expected frequencies are the same -> Option A
  4. Quick Check:

    Chi-squared null hypothesis = observed equals expected [OK]
Quick Trick: Null hypothesis always states no difference in Chi-squared test [OK]
Common Mistakes:
MISTAKES
  • Confusing null and alternative hypotheses
  • Thinking it tests means or variances
  • Assuming it tests correlation

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