Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Normal Distribution
Proportions
Sampling

Formulas

Standard Error: SE = sqrt(p(1 - p) / n)
Z-score for Proportion: Z = (p̂ - p) / SE

Theorems

Central Limit Theorem
Empirical Rule (68-95-99.7 Rule)

Suitable Grade Level

Grades 11-12 (or college level)