8_Lecture8.2_HypothesisTesting_0228r_Spring11

8_Lecture8.2_HypothesisTesting_0228r_Spring11 - VIII....

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1 PSY207 B Spring 2011 Psychological Statistics VIII. Hypothesis Testing Quick Overview A. z-Test B. Outcomes of hypothesis testing You should know about •The four possible outcomes of hypothesis testing • Type I error • Type II error • Alpha •How to compute effect size and power You should know about •What happen when H 0 is false • Large effect • Small effect • Hypothesized sampling distribution • True sampling distribution •What happen when H 0 is true • Hypothesized sampling distribution • True sampling distribution 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
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2 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? b. Assuming that you hypothesize that lack of sleep reduces SAT scores, if you ‘re going to test this hypothesis, 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 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? b. Assuming that you hypothesize that lack of sleep reduces SAT scores, if you ‘re going to test this hypothesis, what should your H 0 and H 1 be? c. Assuming that you hypothesize that being excited when tested influences SAT scores, but you’re not sure of the direction of the influence. If you ‘re going to test this hypothesis, 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 b. H 0 : μ 500, H 1 : μ < 500 --> z crit = -1.65 c. H 0 : μ = 500, H 1 : μ 500 --> z crit = ±1.96 A. z-Test
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8_Lecture8.2_HypothesisTesting_0228r_Spring11 - VIII....

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