Calculate P-Value from Z-Test by Hand
Calculating the p-value from a z-test by hand is a crucial skill in statistics. It helps you determine the significance of your results and draw accurate conclusions.
How to Use This Calculator
- Enter your Z-score in the provided field.
- Select the number of tails (one or two) for your test.
- Click the “Calculate” button.
Formula & Methodology
The p-value is calculated using the standard normal cumulative distribution function (CDF). The formula is:
P(Z < z) = Φ(z)
Where z is the Z-score and Φ(z) is the CDF of the standard normal distribution.
Real-World Examples
Data & Statistics
| Z-Score | P-Value |
|---|
| Z-Score | P-Value |
|---|
Expert Tips
- Always report the p-value along with the Z-score to provide complete information.
- Be cautious when interpreting p-values. A small p-value does not prove that your result is true; it only indicates that it is unlikely to have occurred by chance.
Interactive FAQ
What is a Z-score?
A Z-score is a standardized measure of how many standard deviations an element is from the mean.
Read about the importance of p-values