Testing_for_Proportions

Conducting a hypothesis test hypothesis test for a

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Unformatted text preview: Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Difference in Two Population Proportions Central Limit Theorem (CLT) Theorem Central Limit Theorem for sample proportion If numerous samples of size n are taken, the frequency curve ˆ or histogram of the sample proportions p s will be approximately bell shaped. ˆ The mean of those p s : µ (ˆ) = p p ˆ The standard deviation of those p s : σ (ˆ) = p ˆ The normal approximation of p is ˆ p ∼ Normal p, p (1−p ) n p (1 − p ) n Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Difference in Two Population Proportions Step 1: State the Hypotheses Two-tailed H0 : p = p0 H a : p = p0 Left-tailed H0 : p = p0 H 0 : p < p0 Right-tailed H0 : p = p0 H0 : p > p0 Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Difference in Two Population Proportions Step 2: Prepare to Test 1 2 3 Set the Significance Level: α = 0.05, or α = 0.01, or α = 0.10. Select a test statistics: proportion Check the sampling conditions Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Difference in Two Population Proportions The Sampling Conditions 1 2 3 4 5 Random Sample: the sample is collected randomly from the population Large enough sample size: n · po ≥ 10 and n · (1 − po ) ≥ 10 Without replacement: The population size is at lea...
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