## Math Problem Statement

For 100 births, P(exactly 57 girls) = 0.0301 and P(57 or more girls) = 0.097. Is 57 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less. The relevant probability is so 57 girls in 100 births a significantly high number of girls because the relevant probability is 0.05.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Binomial Distribution

Cumulative Probability

### Formulas

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Cumulative Probability: P(X ≥ k)

### Theorems

Binomial Probability Theorem

Significance Testing

### Suitable Grade Level

Grades 10-12

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