You can access a significantly larger sample of the platform's content for free by logging in with your Gmail account. Sign in now to explore.

What is the relationship between a p-value and a confidence interval?

A 95% confidence interval contains all values of a parameter, which if tested as null hypotheses, would give a P-value \(\geq 0.05\).

More often, we use the relationship between confidence intervals and p-values in an experimental setting, where we compare two quantities and the null hypothesis is that there is no difference. In this specific content, we can say that a 95% confidence interval of the treatment effect that **does not overlap with zero** implies a p-value of \(p < 0.05\).

Confidence interval, P-value, Hypothesis testing

- CI of flipping heads Medium (Confidence Interval, CLT, Bernoulli trials)
- An intuitive way to write power Easy (Power, Hypothesis testing)
- P-value definition Easy (P-value, Hypothesis testing)
- Confidence interval definition Easy (Confidence interval, Hypothesis testing)
- Confidence intervals that overlap Medium (Confidence interval, Hypothesis testing)