1. The P-value in a Chi-square test is the probability of getting a test statistic as extreme or more extreme than that observed, given that the variables are not related.

2. The P-value is the conditional probability of observing a test statistic as extreme as that observed or more so, given that the null hypothesis is true.

Statement 1 (s1) is a true or false question and Statement 2 (s2) is the definition of the P-value. I was wondering if both Statements 1 and 2 are identical, and just worded differently or different since s1 doesn't state "conditional probability" like s2.