About chi-square test, true is
**Core Concept**
The chi-square test is a statistical method used to determine if there is a significant association between two categorical variables. It assesses the goodness of fit or independence between observed and expected frequencies, assuming data are discrete and mutually exclusive.
**Why the Correct Answer is Right**
A p-value less than 0.001 indicates a statistically significant result, meaning the observed data are very unlikely under the null hypothesis. This threshold is stricter than the conventional 0.05, and it is commonly used when evidence of association is strong. The chi-square test does not evaluate correlation or regression, nor does it require continuous or overlapping categories.
**Why Each Wrong Option is Incorrect**
Option A: The number of samples (or sample size) does not reduce error in a way that is directly linked to chi-square validity; in fact, small sample sizes increase the risk of Type II errors and reduce power.
Option C: Categories in chi-square tests must be mutually exclusive and discrete—overlapping or continuous categories violate the assumptions of the test.
Option D: Chi-square tests association (independence) between categorical variables, not correlation or regression, which involve continuous variables and different statistical frameworks.
**Clinical Pearl / High-Yield Fact**
Always remember: chi-square tests **independence** of categorical variables, not correlation. A p-value <0.001 is highly significant, but it does not imply practical significance—clinical relevance must be assessed separately.
✓ Correct Answer: B. <0.001 is statistically significant