Math Problem Statement

Which probability is relevant for determining whether 6 is a significantly high number of girls in 8​ births: the result from part​ (a) or part​ (b)?

A.

The result from part​ b, since it is the complement of the result of part a.

B.

The result from part​ a, since it less than the probability of the given or more extreme result.

C.

The result from part​ b, since it is the probability of the given or more extreme result.

D.

The result from part​ a, since it is the exact probability being asked.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Significance Testing

Formulas

P(X = k) = C(n, k) * p^k * (1-p)^(n-k) (Binomial Probability Formula)
P(X ≥ k) = 1 - P(X < k) (Cumulative Probability)

Theorems

Complement Rule
Binomial Theorem

Suitable Grade Level

Grades 9-12