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Testing_for_Proportions

# Testing_for_Proportions - Hypothesis Testing for Population...

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Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions February 28, 2014 Hypothesis Testing for Population Proportions

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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 Hypothesis Testing for Population Proportions Hypothesis Test for a Single Population Proportion Hypothesis Test for Difference in Two Population Proportions. 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 Learning Goals Know how to test hypotheses concerning a population proportion the comparison of two population proportions Understand the meaning of p-value and how it is used. Understand the meaning of significance level and how it is used. Know the conditions required for calculating a p-value and significance level. Hypothesis Testing for Population Proportions

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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 Steps in Conducting a Hypothesis Test 1 Write the hypotheses: hypothesize 2 Prepare to test 1 Set the significance Level 2 Select a test statistics 3 Check the sampling conditions 3 Compute and Compare 1 Compute the Test statistics 2 Find the p-value 3 Compare p-value to the significance level α 4 Make Decision and Interpret the results in context 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 Test for a Single Proportion REVIEW of CENTRAL LIMIT THEOREM Hypothesis Testing for Population Proportions

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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 Central Limit Theorem (CLT) Theorem Central Limit Theorem for sample proportion If numerous samples of size n are taken, the frequency curve or histogram of the sample proportions ˆ p 0 s will be approximately bell shaped. The mean of those ˆ p 0 s : μ p ) = p The standard deviation of those ˆ p 0 s : σ p ) = q p ( 1 - p ) n The normal approximation of ˆ p is ˆ p Normal p , r 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 Left-tailed Right-tailed H 0 : p = p 0 H 0 : p = p 0 H 0 : p = p 0 H a : p 6 = p 0 H 0 : p < p 0 H 0 : p > p 0 Hypothesis Testing for Population Proportions

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