Check Sample Ratio Mismatch in Python

import random


def sample_ratio_mismatch(population_size: int, sample_size: int, p: float) -> float:
    """
    Estimate the probability that a simple random sample's proportion
    differs from the population proportion by more than 10%.
    """
    total_counts = [0, 0]
    for _ in range(10000):
        sample = random.sample(range(population_size), sample_size)
        successes = sum(1 for i in sample if i < int(population_size * p))
        total_counts[0] += successes
        total_counts[1] += sample_size - successes

    sample_p = total_counts[0] / (total_counts[0] + total_counts[1])
    return abs(sample_p - p)


if __name__ == "__main__":
    random.seed(42)
    mismatch = sample_ratio_mismatch(1000, 100, 0.3)
    print(f"Estimated sample proportion: {mismatch:.4f}")
    print(f"Population proportion: 0.3000")
    print(f"Absolute mismatch: {abs(mismatch - 0.3):.4f}")