Ch09_1 - Hypothesis Testing Overview Hypothesis Testing For...

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Hypothesis Testing
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Overview Hypothesis Testing For a mean Known σ (z) Unknown σ (t) For a proportion (z)
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Nonstatistical Hypothesis Testing… In a trial a jury must decide between two hypotheses: H 0 : The defendant is innocent The alternative hypothesis or research hypothesis is H 1 : The defendant is guilty One or the other must be true
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Nonstatistical Hypothesis Testing… Decision Truth Innocent Guilty Innocent Correct Error (Type 1) Guilty Error (Type 2) Correct
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Nonstatistical Hypothesis Testing… Type I error: reject a true null hypothesis α - Greek letter alpha When jury convicts innocent person Type II error: don’t reject a false null β - Greek letter beta When guilty defendant acquitted The two probabilities are inversely related. Decreasing one increases the other.
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Nonstatistical Hypothesis Testing… In our judicial system Type I errors are regarded as more serious. Why? We make α small by requiring evidence beyond a reasonable doubt.
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Statistical Hypothesis Testing
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Introduction… Statistical hypothesis testing is a procedure for making inferences about a population. We can determine whether enough statistical evidence
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This note was uploaded on 12/13/2010 for the course LEEDS BCOR 1020 taught by Professor Heatheradams during the Spring '08 term at Colorado.

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Ch09_1 - Hypothesis Testing Overview Hypothesis Testing For...

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