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form3 - = m z n m z n Large-sample Significance Tests Test...

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STA 2023H Exam 3 Formulas Sample Proportion: (X~binomial(n,p)) n p p p n X p p p ) 1 ( sixe sample Sample in Succeses of # ^ ^ ^ - = = = = σ μ Sample Mean: (E(X i )= μ , V(X i )= σ 2 ) n n X X X X i σ σ μ μ = = = Central Limit Theorem: For random samples of size n (with finite means and standard deviations), the sampling distributions of sample proportions and means will be approximately normal for large n. Margin of Error (C% Confidence) z * *(Standard Error) Confidence Interval: estimate ± margin of error Sample Size for margin of error to be m : 2 * 2 * 25 . 0 : Proportion Sample : Mean Sample
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Unformatted text preview: = m z n m z n Large-sample Significance Tests: Test Statistic: error standard ) H parameter(-estimate z = obs P-value: ) ( P : Tailed-Lower ) P( : tailed-er Upp ) 2P( : tailed-2 obs obs obs z Z z Z z Z ≤ ≥ ≥ Rejection Region ( α =P(Type I Error)): α z z z z z z obs obs obs-≤ ≥ ≥ : Tailed-Lower : Tailed-Upper | | : Tailed-2 2 / Difference between two means: Estimate: 2 1 X X-Standard Error: 2 2 2 1 2 1 n n +...
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