Critical value calculator

A critical value marks where the rejection region of a test begins. A test statistic beyond it is significant at that level.

Your answer

Critical values±1.96
Lower-1.96
Upper1.96

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How we worked it out

Updated as you change the numbers.

  1. Two-tailed: split α between the tails, so the values are the α/2 and 1 − α/2 quantiles.

Method and assumptions

Quantiles come from the inverse of each distribution’s cumulative distribution function, computed numerically to at least four decimal places.

Questions

What is the z critical value for a 5% two-tailed test?

±1.96 (more precisely 1.9600). For t with 10 degrees of freedom it is ±2.2281.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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