For a more detailed discussion, see the description in The Practice of Statistics, Statistics and Probability with Applications, Introductory Statistics: A Student-Centered Approach, or the free Stats Medic lesson plans for Day 1 and Day 2 of this activity.

Enter the observed counts for your sample in the table below and press Begin Analysis.

-OR-

Generate a random sample of size n = from the claimed distribution.

Color Name

Count

To see if the observed chi-square statistic is unusual, let’s perform a simulation!

Pressing the “Simulate” button generates the requested number of random samples of the same size as the original sample, taken from a population that matches the claimed distribution. Then, the distribution of color in the simulated sample is displayed, and the value of the chi-square test statistic for each sample is calculated and graphed on the dotplot.

Simulate sample(s) and add to the dotplot. The most recent sample's color distribution and χ^{2} value will be displayed.

Total number of simulated samples: Plot approximate χ^{2} density curve
Count the number and percent of dots