Lecture24 - ECO220Y Lecture 24 Introduction to Hypothesis...

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ECO220Y Lecture 24 CO220 ectu e 2 Introduction to Hypothesis Testing Migiwa Tanaka Reading:11.1 1
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utline Outline Introduction to Hypothesis Testing Testing population mean when the population variance is known Rejection Region Method p-value Method One-tail vs. two-tail Test Calculating the probability of a type II error 2
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ypothesis Testing Hypothesis Testing Step1: Identify hypotheses about a population parameter Step2: Collect a sample ep3: Conduct hypothesis testing: Conclude whether Step3: the hypotheses set up in step 1 is true or not, using evidence found in the sample. A. Calculate a test statistic B. Compare A. with the decision criteria 3
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Analogy with Criminal Trial (1) ypothesis Testing i i l Til Hypothesis Testing Criminal Trial Unknown: Population Unknown: Defendant’s Guilt Parameter Construct hypotheses about opulation parameter Construct hypotheses about defendant’s guilt population parameter. Collect a sample from the population Collect evidence relevant to the crime. Calculate test statistics. Based on the evidence in a sample, test hypothesis. Based on the evidence, test hypothesis 4
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ypotheses Hypotheses All hypotheses are constructed in a pair. ll H th i I iti l ti b t th 1. Null Hypothesis (H 0 ): Initial presumption about the population, which is not based on the data.
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This note was uploaded on 03/01/2011 for the course ECON 220 taught by Professor Tanaka during the Spring '11 term at University of Toronto- Toronto.

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Lecture24 - ECO220Y Lecture 24 Introduction to Hypothesis...

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