In: Statistics and Probability
Mark the following statement as true or false. If you believe that the statement is false, briefly say why you think it is false.
A statistically significant chi squared in the test of independence implies a causal relationship between the variables that define a contingency table.
Choose the correct answer below.
A. The statement is false. A statistically significant chi squared indicates an association between the variables.
B. The statement is false. A statistically insignificant chi squared implies a causal relationship.
C. The statement is false. A statistically significant chi squared indicates that the variables are independent.
D. The statement is true.
Solution:
Correct option is
The statement is false. A statistically significant chi squared indicates an association between the variables.
Option A. id correct
Explanation:
Consider the Chi Square test for the independence
Null hypothesis : Variables are independent i.e. there is no significant association
Alternative hypothesis : Variables are NOT independent i.e. there is a significant association.