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.
- On a PC: from the menu select STATISTICS > Distribution Plot
On a Mac: from the menu select Statistics > Probability Distributions > Distribution Plot
- Select Display Probability
- For Distribution select Chi-Square
- For Degrees of freedom enter 1
- Select A specified X value
- Select Right tail
- For X value enter 1.75
This should result in the following output:
Select your operating system below to see a step-by-step guide for this example.