*55*

In most cases, when you find a z-score in statistics you can simply use a Z Score to P-Value Calculator to find the corresponding p-value.

However, sometimes you may be forced to calculate a p-value from a z-score by hand. In this case, you need to use the values found in a z table.

The following examples show how to calculate a p-value from a z-score by hand using a z-table.

**Example 1: Find P-Value for a Left-Tailed Test**

Suppose we conduct a left-tailed hypothesis test and get a z-score ofÂ **-1.22**. What is the p-value that corresponds to this z-score?

To find the p-value, we can simply locate the valueÂ **-1.22** in the z table:

The p-value that corresponds to a z-score of -1.22 isÂ **0.1112**.

**Example 2: Find P-Value for a Right-Tailed Test**

Suppose we conduct a right-tailed hypothesis test and get a z-score of **1.43**. What is the p-value that corresponds to this z-score?

To find the p-value, we can first locate the value **1.43**Â in the z table:

Since weâ€™re conducting a right-tailed test, we can then subtract this value from 1.

So our final p-value is: 1 â€“ 0.9236 = **0.0764**.

**Example 3: Find P-Value for a Two-Tailed Test**

Suppose we conduct a two-tailed hypothesis test and get a z-score of **-0.84**. What is the p-value that corresponds to this z-score?

To find the p-value, we can first locate the value **-0.84**Â in the z table:

Since weâ€™re conducting a two-tailed test, we can then multiply this value by 2.

So our final p-value is: 0.2005 * 2 =Â **0.401**.

**Additional Resources**

The following tutorials explain how to calculate p-values from z-scores using various statistical software:

How to Find a P-Value from a Z-Score in Excel

How to Find a P-Value of a Z-Score in R

How to Find a P-Value from a Z-Score in Python