Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Sampling distribution
Standard deviation
Proportions
Z-scores
Probability
Formulas
Standard deviation of the sample proportion: σ̂p = sqrt((p(1 - p)) / n)
Z-score formula: z = (p̂ - p) / σ̂p
Theorems
Central Limit Theorem
Suitable Grade Level
College level (Introductory statistics)
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