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Unformatted text preview: Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure Lecture 25 Chapter 9: Testing of Hypotheses Michael Akritas Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure Test Statistics (TSs) and Rejection Regions (RRs) Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure I Hypothesis is a statement regarding the range of values of a parameter θ of interest. Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure I Hypothesis is a statement regarding the range of values of a parameter θ of interest. I Hypothesis testing is a set of rules and procedures that allow us to declare a hypothesis as being significantly (meaning with large probability) untrue. Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure I Hypothesis is a statement regarding the range of values of a parameter θ of interest. I Hypothesis testing is a set of rules and procedures that allow us to declare a hypothesis as being significantly (meaning with large probability) untrue. I Since CIs provide a set of plausible values for the true value of θ , they can be (and are) used for testing hypotheses: Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure I Hypothesis is a statement regarding the range of values of a parameter θ of interest. I Hypothesis testing is a set of rules and procedures that allow us to declare a hypothesis as being significantly (meaning with large probability) untrue. I Since CIs provide a set of plausible values for the true value of θ , they can be (and are) used for testing hypotheses: 1. For example, consider testing a hypothesis of the form H : θ = θ , where θ is a specified value. Michael Akritas Lecture 25 Chapter 9: Testing of Hypotheses Outline Introduction to Hypothesis Testing The Null and Alternative Hypotheses Specification of a Test Procedure I Hypothesis is a statement regarding the range of values of a parameter θ of interest....
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 Spring '00
 Akritas
 Null hypothesis, Statistical hypothesis testing, alternative hypotheses, Michael Akritas, Alternative Hypotheses Specification

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