Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Sampling Distribution
Normal Approximation to the Binomial Distribution
Formulas
Mean of sampling distribution: μ_\hat{p} = p
Standard deviation of sampling distribution: σ_\hat{p} = √(p(1 - p) / n)
Z-score: z = (0.30 - p) / σ_\hat{p}
Theorems
Central Limit Theorem
Normal Approximation to the Binomial Distribution
Suitable Grade Level
Grades 11-12
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