Question:easy
The significance of the difference between proportions can also be tested by which of the following?
The significance of the difference between proportions can also be tested by which of the following?
Show Hint
Categorical data and proportions call for the chi-square test.
Updated On: Jun 23, 2026
- 't' test
- Chi square test
- ANOVA
- Correlation and regression
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Identify the nature of the data first: proportions are categorical, so the right test must operate on frequency counts rather than means.
Step 2: The chi-square statistic, $\chi^2 = \sum \frac{(O-E)^2}{E}$, contrasts observed counts $O$ with expected counts $E$, making it the standard tool to test whether two or more proportions differ beyond chance.
Step 3: Mean-based tests ('t' test, ANOVA) and relationship tools (correlation, regression) are designed for quantitative data, so they are unsuitable here. The proportion comparison belongs to chi-square. \[\boxed{\text{Chi square test}}\]
Step 2: The chi-square statistic, $\chi^2 = \sum \frac{(O-E)^2}{E}$, contrasts observed counts $O$ with expected counts $E$, making it the standard tool to test whether two or more proportions differ beyond chance.
Step 3: Mean-based tests ('t' test, ANOVA) and relationship tools (correlation, regression) are designed for quantitative data, so they are unsuitable here. The proportion comparison belongs to chi-square. \[\boxed{\text{Chi square test}}\]
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