32. Other Things to Consider - How Do CIs and HTs Compare?

A two-sided hypothesis test (that is a test involving a \neq in the alternative) is the same in terms of the conclusions made as a confidence interval as long as:

1 - CI = \alpha

For example, a 95% confidence interval will draw the same conclusions as a hypothesis test with a type I error rate of 0.05 in terms of which hypothesis to choose, because:

1 - 0.95 = 0.05

assuming that the alternative hypothesis is a two sided test.

Video on effect size here.