8_Lecture8.3_HypothesisTesting_0302_Spring11

8_Lecture8.3_HypothesisTesting_0302_Spring11 - VIII....

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1 PSY207 B Spring 2011 Psychological Statistics VIII. Hypothesis Testing Review How to compute power A. z-Test • Used when you’re testing a hypothesis with the population parameters (μ and σ ) already known • Steps 1. State the hypothesis (H 0 ) 2. Set decision criteria (depending on H 1 ) 3. Obtain sample statistics (z statistic) 4. Make a decision: retain or reject H 0 A. z-Test • Used when you’re testing a hypothesis with the population parameters (μ and σ ) already known • Steps 1. State the hypothesis (H 0 ) 2. Set decision criteria (depending on H 1 ) 3. Obtain sample statistics (z statistic) 4. Make a decision: retain or reject H 0 E.g., For SAT, μ = 500, σ = 100 a. Assuming a program claims to boost SAT scores, if you ‘re going to test this claim, what should your H 0 and H 1 be? H 0 : μ 500, H 1 : μ > 500 A. z-Test • Used when you’re testing a hypothesis with the population parameters (μ and σ ) already known • Steps 1. State the hypothesis (H 0 ) 2. Set decision criteria (depending on H 1 ) 3. Obtain sample statistics (z statistic) 4. Make a decision: retain or reject H 0 In the previous example, assuming the level you pick is .05 a. H 0 : μ 500, H 1 : μ > 500 --> z crit = 1.65 Rare (upper 5%) Rare Rare (upper 5%) Common (lower 95%) Common Common (lower 95%) - 3 - 2 - 10123 One-Tailed Test for H 0 : μ 500; H1: μ > 500 5% 5% Level of Significance: α = .05 Level of Significance: α = .05 Z critical = 1.65
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2 A. z-Test • Used when you’re testing a hypothesis with the population parameters (μ and
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8_Lecture8.3_HypothesisTesting_0302_Spring11 - VIII....

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