[Solved] Which of the following is a valid null hypothesis for a chi-square goodness of fit test? — Ans: Observed data follows the expected distribution | SciPy

SciPy - Curve Fitting and Regression

Which of the following is a valid null hypothesis for a chi-square goodness of fit test?

AObserved data is correlated with another variable

BObserved data has a higher mean than expected

CObserved data follows the expected distribution

DObserved data has equal variance to expected data

Step-by-Step Solution

Solution:

Step 1: Recall null hypothesis for goodness of fit
The null hypothesis states that observed data fits the expected distribution.
Step 2: Match options to null hypothesis
Only Observed data follows the expected distribution correctly states this; others refer to mean, correlation, or variance, which are unrelated.
Final Answer:
Observed data follows the expected distribution -> Option C
Quick Check:
Null hypothesis = observed fits expected [OK]

Quick Trick: Null hypothesis: observed matches expected distribution [OK]

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Which of the following is a valid null hypothesis for a chi-square goodness of fit test?