# 11.1.3 - Probability Distribution Plots

11.1.3 - Probability Distribution Plots

In previous lessons you have constructed probabilities distribution plots for normal distributions, binomial distributions, and $t$ distributions. This week you will use the same procedure to construct a probability distribution plot for the chi-square distribution.

## MinitabExpress – Constructing a Probability Distribution Plot

Chi-square tests of independence are always right-tailed tests. Let's find the area of a chi-square distribution with 1 degree of freedom to the right of $\chi^2 = 1.75$. In other words, we're looking up the $p$ value associated with a chi-square test statistic of 1.75.

1. On a PC: from the menu select STATISTICS > Distribution Plot
On a Mac: from the menu select Statistics > Probability Distributions > Distribution Plot
2. Select Display Probability
3. For Distribution select Chi-Square
4. For Degrees of freedom enter 1
5. Select A specified X value
6. Select Right tail
7. For X value enter 1.75

This should result in the following output:

Video Walkthrough

Select your operating system below to see a step-by-step guide for this example.

## Example: Area to the Right of Chi-Sq = 6.25, df=3

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