Mathematics - Probability and Statistics - Advanced - Hypothesis testing - Hypothesis Testing Framework

12 steps: (1) H₀ (null hypothesis): the default claim. 'The coin is fair (p=0.5).' (2) H₁ (alternative): what we suspect. 'The coin is biased (p≠0.5).' (3) Choose significance level α (typically 0.05). (4) Collect data and compute TEST STATISTIC. (5) For proportions: Z = (p̂-p₀)/√(p₀(1-p₀)/n). (6) F

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Mathematics - Probability and Statistics - Advanced - Hypothesis testing - Hypothesis Testing Framework
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Mathematics - Probability and Statistics - Advanced - Hypothesis testing - Hypothesis Testing Framework

vivmagarwal
vivmagarwalJan 29, 2026

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12 steps: (1) H₀ (null hypothesis): the default claim. 'The coin is fair (p=0.5).' (2) H₁ (alternative): what we suspect. 'The coin is biased (p≠0.5).' (3) Choose significance level α (typically 0.05). (4) Collect data and compute TEST STATISTIC. (5) For proportions: Z = (p̂-p₀)/√(p₀(1-p₀)/n). (6) F

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MathematicsProbability and Statistics - Advanced

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