Math

P-value Calculator

Convert a z statistic into a normal-model p-value for a one-sided or two-sided test. The choice of alternative determines which tail or tails count as evidence against the null model.

01

Your inputs

02

Your result

Ready when you are.

Adjust the inputs, then calculate to see your result here.

Calculated on your device. Inputs are not saved by this calculator.

GET MORE FROM YOUR RESULT

Using the P-value Calculator

Select the tail that matches the hypothesis specified for the analysis. An upper-tail test asks about unusually high values, a lower-tail test about unusually low values, and a two-sided test considers either direction.

Worked example

Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.

Example inputs

Z statistic
1.96
Alternative
Two-sided

Example result

P-value
0.049995652

Method and assumptions

Normal z-test approximation using the error function. Does not evaluate t, F or chi-square statistics.

Check what the data represents

A statistical result is only meaningful in relation to the observations and assumptions behind it. Keep track of whether values describe a whole population or a sample, whether observations are independent, and which distribution the method uses. More decimal places cannot compensate for a sample that does not represent the question you are trying to answer.

Common question

Can I enter a t statistic instead of a z statistic?

No. A t statistic uses a t distribution and degrees of freedom. This calculator uses the standard normal distribution only.