Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Sampling distribution
Mean of sample proportion
Standard deviation of sample proportion
Formulas
Mean of the sample proportion: μ̂p = p
Standard deviation of the sample proportion: σ̂p = √[p(1 - p) / n]
Theorems
Central Limit Theorem (justifies the use of sampling distribution for large samples)
Suitable Grade Level
Grade 10-12 (High School)
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