# P Value Calculator

Calculate one-tailed or two-tailed p-values for Z, t, chi-square, and F test statistics

> Canonical page: https://elysiatools.com/en/tools/p-value-calculator

- **Category:** Math & Numbers

- **Keywords:** p value, hypothesis test, z test, t test, chi-square test, f test, calculator

## Overview

The P Value Calculator is a precise statistical utility designed to compute one-tailed and two-tailed p-values from various test statistics. It supports Z (Standard Normal), Student's t, Chi-Square, and F distributions, allowing researchers, analysts, and students to easily determine statistical significance. Simply input your calculated test statistic, select the appropriate distribution and tail type, and instantly generate exact probability values formatted in JSON.

## Inputs

- **Test Statistic** (number)
- **Distribution** (select)
- **Tail** (select)
- **Degrees of Freedom** (number)
- **Numerator Degrees of Freedom** (number)
- **Denominator Degrees of Freedom** (number)
- **Decimal Places** (number)

## When to use

- Evaluating hypothesis tests in academic research or data analysis to determine statistical significance.
- Analyzing A/B testing results to confirm if observed differences between groups are statistically valid.
- Verifying manual statistical calculations for coursework, peer reviews, or scientific reports.

## How it works

- Enter your calculated test statistic into the primary input field.
- Select the probability distribution (Z, t, Chi-Square, or F) and specify whether you need a left-tail, right-tail, or two-tail calculation.
- If using a t, Chi-Square, or F distribution, provide the required degrees of freedom.
- Adjust the decimal places if needed, and the calculator will output the exact p-value alongside left, right, and two-tail probabilities.

## Use cases

- Medical researchers testing the efficacy of a new treatment using a two-sample t-test.
- Digital marketers running a Z-test to compare conversion rates between two website landing pages.
- Quality control engineers using an F-test to compare the variances of two different manufacturing processes.

## Frequently asked questions

### What distributions are supported by this calculator?

This calculator supports Z (Standard Normal), Student's t, Chi-Square, and F distributions.

### Do I need to provide degrees of freedom for a Z test?

No, degrees of freedom are only required for t, Chi-Square, and F distributions. The Z distribution does not use them.

### Can I calculate a one-tailed p-value?

Yes, you can select either a left-tail or right-tail calculation, as well as a standard two-tailed test.

### How do I enter degrees of freedom for an F test?

For an F test, you must provide both the numerator degrees of freedom and the denominator degrees of freedom in their respective input fields.

### Can I adjust the precision of the result?

Yes, you can configure the decimal places option to round the output probabilities to your preferred precision, up to 10 decimal places.

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