Hypothesis Testing The z-test for Proportions

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$Math 110 Test # 1$

$Calculus 2 for Engineers (Math 124) - Department of Mathematics ...$

Reject H 0 The Test Statistic pˆ − p z = σ α/2 0 = pˆ − p p ( 1− p ) pˆ 0 0 n The Acceptance region: − zα / 2 0 zα / 2 Accept H 0 The one tailed z-test : p p H ≤ 0 H A 0 : p > p 0 0 α/2 z Reject H 0 The Test Statistic pˆ − p z = σ 0 = pˆ − p p ( 1− p ) pˆ 0 0 n The Acceptance and Critical region: z 0 α z Accept H0 Reject H0 The one tailed z-test : p p H ≥ 0 H A 0 : p The Test Statistic pˆ − p z = σ Reject H0 0 = pˆ − p p ( 1− p ) pˆ 0 0 n The Acceptance region: − zα 0 0 z Accept H0 Comments • The alternative Hypothesis (H A) is what the experiment is trying to prove - the Research Hypothesis • The alternative Hypothesis (H A) will determine if you use a one-tailed test or a two tailed test • If you are trying to prove a difference H A : p ≠ p • This is the alternative Hypothesis (H A) - the Research Hypothesis • Use a two tailed test • If you are trying to prove the true value p exceeds the hypothesized value p 0 H A : p > p • This is the alternative Hypothesis (H A) - the Research Hypothesis • If you are trying to prove the true value p does not exceed the hypothesized value p 0 H A : p Hypothesis (H A) - the Research Hypothesis 0 0 0 3
Page 1: Hypothesis Testing To define a stat
Page 5 and 6: Performing the Test 1. Decide on α
Page 7 and 8: The Data • Let x1 , x2 , x3 , …
Page 9: Test Statistic z = = x − μ0 x

Hypothesis Testing The z-test for Proportions

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