The fitness of good test of applying chi-square to find out the association between two variables demands a minimum sample of

(A) 20

(B) 30

(C) 40

(D) 50

Correct Ans: (D)

Explanation:

The chi-square test is a statistical method used to determine the association between two categorical variables. For the test to produce reliable results, researchers must ensure a minimum sample size of 50. This threshold helps maintain statistical accuracy and reduces errors in hypothesis testing.

A larger sample size ensures that the expected frequencies in each category are sufficient. Generally, statistical guidelines recommend that each cell in a contingency table should have an expected frequency of at least 5. When the sample is too small, the test may give misleading results, making it harder to draw meaningful conclusions.

The other options do not meet the standard requirement. While 20, 30, or 40 samples may work in some cases, they increase the risk of inaccurate findings. A sample of 50 or more ensures better statistical stability, making results more generalizable and valid.

Thus, for effective chi-square testing, researchers must collect a minimum of 50 observations, ensuring stronger data reliability and meaningful interpretation of variable relationships.