Chi-Square Test
Question 1:
What is the Chi-Square test, and when is it commonly used in statistics?
Solution:
The Chi-Square test is used to determine if there is a significant
association between categorical variables. It is commonly used when
dealing with counts or frequencies.
Question 2:
In a study of 200 individuals, 120 preferred Product A, 50 preferred
Product B, and 30 had no preference. Conduct a Chi-Square test to
determine if there is a significant difference in preferences.
Solution:
Set up observed and expected frequency tables, calculate the Chi-Square
statistic, and compare it to the critical value.
Question 3:
Define the terms "null hypothesis" and "alternative hypothesis" in the
context of the Chi-Square test.
Solution:
The null hypothesis (
H
0
H
0
) assumes no association, while the alternative hypothesis (
H
a
H
a
) suggests a significant association between variables.
Question 4:
Explain the concept of degrees of freedom in the Chi-Square test.
Solution:
