This intimate link between hypothesis testing and confidence intervals should stop people misinterpreting results that are not statistically significantly different from 0 – this does not mean that the null hypothesis is actually true, but simply that a confidence interval for the true value includes 0. Unfortunately, as we shall see later, this lesson is often ignored.
Statitical significance is a clam about the quality of th evidence against the null hypothesis and not a claim about the truthfulnes of the null hypothethis itself