Math Problem Statement

A survey showed that 34​% of human resource professionals are at companies that rejected job candidates because of information found on their social media. If 24 human resource professionals are randomly​ selected, would 13 be a significantly high number to be at companies that rejected job candidates because of information found on their social​ media? Why or why​ not?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Significance Testing

Formulas

Binomial Probability Formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Expected Value: E(X) = n * p
Standard Deviation: SD(X) = sqrt(n * p * (1 - p))

Theorems

Binomial Theorem
Normal Approximation to the Binomial Distribution

Suitable Grade Level

Grades 10-12