P-value Calculator

Calculated using standard mathematical and industry formulas.

Free online P Value Calculator calculator and unit conversion tool for everyday, engineering, and home projects.

How to use this calculator?

  1. Enter the Z-statistic from your hypothesis test.
  2. Select whether the test is two-tailed, right-tailed, or left-tailed.
  3. Set the significance level α.
  4. Read the P-value and conclusion: reject H₀ if P-value < α.

Formula & calculation method

P-value from normal CDF

Two-tailed: P = 2 × (1 − Φ(|z|)) · Right-tailed: P = 1 − Φ(z) · Left-tailed: P = Φ(z)

Φ(z) = cumulative standard normal distribution. Computed via polynomial approximation.

Step-by-step calculation example

z = 2.0, two-tailed: P = 2 × (1 − 0.9772) = 0.0456 < α=0.05 → Reject H₀.

Key insights to remember

How to interpret your results?

P-value meaning

The probability of observing a test statistic as extreme as (or more extreme than) the one computed, assuming H₀ is True. A small P-value means your result is unlikely under H₀.

Common misconception

The P-value is not the probability that H₀ is True. It is the probability of the data given H₀. 'P = 0.05' does not mean 95% chance the result is real.

Frequently asked questions

How do I use the P Value Calculator calculator?
Enter your numerical input and select desired units to get instant accurate results.
How accurate are the conversions?
Conversions use official ISO conversion factors for maximum precision.
Does it convert metric and imperial units?
Yes, seamless conversions between metric (meters, kg) and imperial (feet, lbs) are supported.
Is my data stored?
No, all calculations execute 100% locally in your browser with zero data logging.
Can I use this for DIY or engineering projects?
Yes, it provides reliable estimates for construction, crafting, science, and everyday math.
What if I enter invalid inputs?
The calculator will display a friendly error prompt if non-numeric values are entered.

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