Advanced MCQ on Chi Square Test with Answer Key (PDF)







The chi-square test is a statistical method used to determine if there is a significant association between two categorical variables. It compares the observed frequencies in each category with the expected frequencies if there were no association. The test calculates the chi-square statistic, which measures how much the observed frequencies deviate from the expected ones. A higher chi-square value indicates a greater difference. This test is commonly used in hypothesis testing, particularly in contingency tables, to assess whether distributions of categorical data differ from expectations. This is an advanced MCQ on Chi Square Test with Answers. You can download the questions as PDF from the download link provided in the result page of the quiz.

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1. 
The Chi-Square test is primarily used for which type of data?

2. 
Which of the following is a common application of the Chi-Square test?

3. 
The Chi-Square test of independence is used to determine:

4. 
What is the null hypothesis in a Chi-Square test of independence?

5. 
What is the expected frequency in a Chi-Square test?

6. 
In a Chi-Square test, how are the degrees of freedom calculated for a contingency table?

7. 
Which of the following is a key assumption of the Chi-Square test?

8. 
Which Chi-Square test would be appropriate for testing whether a single categorical variable follows a specified distribution?

9. 
What does a large Chi-Square statistic indicate in a Chi-Square test of independence?

10. 
In the Chi-Square test, what does it mean if the p-value is less than the significance level (α)?

11. 
Which of the following situations would be inappropriate for applying a Chi-Square test?

12. 
What is the main limitation of the Chi-Square test when it comes to small sample sizes?

13. 
In the context of a Chi-Square goodness-of-fit test, what does a p-value greater than 0.05 typically indicate?

14. 
If a Chi-Square test of independence has 3 rows and 4 columns in a contingency table, what are the degrees of freedom?

15. 
Which of the following conditions would suggest the need to use Fisher's Exact Test instead of the Chi-Square test?

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