One should not reject rather than accept the null hypothesis. If one accepts the null hypothesis, this indicates that the population mean is a specific value, such as 101, 102, or 103, and so the same data have been used to conclude that the is three different values. If one accepts does not reject the null hypothesis, this indicates that the sample mean population mean could be 101, 102, or 103 or even some other value; we are simply not ruling them out as the value of the population mean. sample mean. Therefore, accepting not rejecting the null hypothesis can lead to contradictory conclusions, whereas accepting not rejecting does not