Evaluating CAPTCHA Effectiveness with Statistics

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This analysis explores CAPTCHAs, focusing on their security role and the comparative pass rates of humans versus bots. It delves into hypothesis testing using CAPTCHA data, employing a two-proportion Z-test to evaluate the effectiveness of these security measures. The findings reveal that humans consistently outperform bots, highlighting the limitations of statistical evidence in ensuring security. Additionally, the discussion addresses data quality, independence, and the evolving...