Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Confidence Intervals
Formulas
Sample proportion formula: \( \hat{p} = \frac{x}{n} \)
Confidence interval formula for a proportion: \( \hat{p} \pm Z_{\alpha/2} \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \)
Theorems
Central Limit Theorem
Z-score
Suitable Grade Level
Grades 11-12
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