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