A steady undercurrent claiming that we do not actually need the apparatus of
null hypothesis formulation is present in statistical thinking. What we are most
concerned with, this argument states, is not the blanket acceptance or rejection
of a hypothesis, but an idea of where the true population parameters lie given
what we know about the sample. This usually resolves into the estimation of what
are known as the “confidence intervals of the mean (or median).” The 95% con-
fidence intervals are the ones usually used. The confidence interval of the mean
does not actually make any statements about where the real population mean ...
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