Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Chi-square Test of Independence
Chi-square Goodness-of-fit Test
Formulas
Chi-square statistic: χ² = Σ((Observed - Expected)² / Expected)
Theorems
Chi-square Distribution
Null Hypothesis (H₀)
Alternative Hypothesis (H₁)
Suitable Grade Level
University Level (Statistics)
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Chi-Squared Test of Independence: Critical Value 11.48 vs. Test Statistic 12.01