**Understanding the Chi-Square (χ²) Test**---When the **χ² statistic** calculated in a **χ² test** is very high, it means that:- **[ ]** the results of the test are inconclusive- **[ ]** the difference between the observed and expected values is likely due to a factor other than chance- **[ ]** the difference between the observed and expected values is likely due to chance alone- **[ ]** there is no difference between the observed and expected values- **[ ]** the experiment was set up incorrectly and should be repeated---**Explanation:**The chi-square (χ²) test is a statistical method used to compare the observed results with the expected results according to a specific hypothesis. If the χ² statistic is very high, it typically suggests that the difference between the observed and expected values is likely due to a factor other than chance. This is because a high χ² value indicates a significant discrepancy between the observed data and what was expected under the null hypothesis. Therefore, it can lead to a rejection of the null hypothesis.Points to Consider:- **Null Hypothesis (H₀):** Assumes no significant difference between the observed and expected frequencies.- **Alternative Hypothesis (H₁):** Assumes a significant difference between the observed and expected frequencies.**Key Takeaway:**A very high chi-square statistic generally means that the observed data significantly deviates from the expected data, suggesting the influence of factors other than mere chance.

A chi-square test of association is performed to test significant association between two variables.

Answered: When the x² statistic calculated in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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When the x² statistic calculated in a x² test is very high, it means that: