In this full worked example, we walk through the Chi Squared Test for Independence (also known as the Two-Way Chi Squared Test) from start to finish using the TI-Nspire CX graphical calculator.
Whether you're preparing for your IB Mathematics AI SL or HL Internal Assessment (IA), completing a statistics project, or learning how to apply the Chi Squared Test accurately, this video will guide you step-by-step.
✅ Learn how to state the null and alternative hypotheses
✅ Input your contingency table into the TI-Nspire CX
✅ Calculate the chi squared statistic, p-value, degrees of freedom, and expected frequencies
✅ Compare the chi squared statistic to the critical value or p-value to the significance level
✅ Draw a clear, correct statistical conclusion
Link towards Critical Chi Squared Values : https://www.dropbox.com/scl/fi/ev60e93p878yyrrpbeaf5/chi-squared-critical-values.pdf?rlkey=zjlluqfmhqda82gs819t6dbi3&dl=0
Perfect for IB students, teachers, and anyone studying Chi Squared Tests for exams, coursework, or research projects!
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Timestamps
00:00 – Introduction
00:35 – State Null Hypothesis and Alternative Hypothesis
02:11 – Chi Squared Statistics on Calculator
02:30 – Enter Contingency Table on TI-Nspire CX
04:09 – Calculate Chi Squared Statistic
04:10 – Chi Squared Statistic, p-value, Degrees of Freedom with TI-Nspire CX
05:41 – Expected Frequencies with TI-Nspire CX
07:18 – Chi Squared Statistic Measures Deviation of Observed vs Expected Frequencies
08:12 – Find Critical Chi Squared Value from Table
10:55 – Find Critical Chi Squared Value Using TI-Nspire CX
12:18 – Drawing the Conclusion: Comparing Test Statistic to Critical Value or p-value
14:58 – Conclusion
Key Topics Covered:
Chi Squared Test for Independence
How to use TI-Nspire CX for statistical tests
IB Mathematics IA support (AI SL and AI HL)
Understanding p-values, significance levels, degrees of freedom
Comparing observed and expected frequencies
Step-by-step hypothesis testing examples
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