slide9 - Hypothesis Tests An Introduction Hypothesis Test...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Chapter 9: Hypothesis Tests About the Mean and Proportion Bin Wang [email protected] Department of Mathematics and Statistics University of South Alabama Mann E6 1/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Two Hypotheses Definition (Null hypothesis) A null hypothesis is a statement (claim) about a population parameter that is assumed to be true until it is declared false. A null hypothesis is denoted by H . Mann E6 2/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Two Hypotheses Definition (Null hypothesis) A null hypothesis is a statement (claim) about a population parameter that is assumed to be true until it is declared false. A null hypothesis is denoted by H . Definition (Alternative hypothesis) An alternative hypothesis is a statement (claim) about a population parameter that is true if the null hypothesis is false. An alternative hypothesis is denoted by H 1 or H A . Mann E6 2/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Rejection and Non-rejection Regions Definition (Rejection region) Rejection region is a region in which we have enough evidence to declare that the null hypothesis is false. If H is declared false, H 1 is true. Definition (Nonrejection region) Non-rejection region is a region in which we have no enough evidence to declare that the null hypothesis is false. If H is not declared false, we will assume it to be true. Mann E6 3/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Mann E6 4/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Two Types of Errors Definition (Type I Error) A Type I error occurs when a true null hypothesis is rejected. The value of α represents the probability of committing this type of error, that is, α = P ( H is rejected | H is true ) The true value of α represents the significance level of the test. Mann E6 5/52 Hypothesis Tests: An Introduction Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Two Types of Errors Definition (Type I Error) A Type I error occurs when a true null hypothesis is rejected. The valueA Type I error occurs when a true null hypothesis is rejected....
View Full Document

This note was uploaded on 02/10/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.

Page1 / 60

slide9 - Hypothesis Tests An Introduction Hypothesis Test...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online