Which of the following are true when testing the difference between two means?

• If the p-value is close to zero, then it is considered likely that the two population means are equal.
• The fundamental nature of both the hypothesis testing and estimation is altered when we are dealing with the difference between two variables rather than one variable.
• A large numerical value for the calculated test statistic relative to the critical value (in absolute terms) would result in a decision to reject the alternate hypothesis.
• Because the variances in the populations are assumed equal, the sample variances may be pooled.