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GeoGebra Demonstration of Chi‑Squared Test for Rolling Two Dice

GeoGebra Demonstration of Chi‑Squared Test for Rolling Two Dice
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2020-08-31 04:35
FunctionProbability & StatisticsSlider Animation
This GeoGebra example illustrates a chi‑squared test for rolling two dice, showing how to compute observed versus expected frequencies and apply the chi‑squared statistic for hypothesis testing. Key mathematical concepts include the chi‑squared distribution, expected value, observed value, significance level, and statistical inference. The construction uses the Sum, ChiSquaredTest, and If commands, with many labeled points (e.g., A1, B3) forming the output display, and sliders for dynamic simulation. It is suitable for high‑school or university students and teachers studying statistics, probability, and hypothesis testing.

GeoGebra Commands & Parameters

  1. Sum(C2:C12) → C13
  2. Sum(D2:D12) → D13
  3. Sum(E2:E12) → E13
  4. ChiSquaredTest(C2:C8, E2:E8) → l1
  5. If(C13 < 90, "WARNING: Less than 90 values", "") → F13

AI Drawing Prompt Reference

Create a statistical demonstration for a chi-squared test on rolling two dice. Include a computation panel where aggregated sums represent observed frequencies and expected frequencies across categories, then present the chi-squared test result derived from the observed set versus the expected set. Add a decision/notification element: when the total number of values is below a specified threshold, show a warning message reading “Less than 90 values.” Arrange the objects so the relationship between observed counts, expected counts, and the chi-squared inference is visually clear.
The prompt above was compiled from the original drawing commands and is for reference only.