lecture10 notes

Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac )

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Stat 312: Lecture 10 Hypothesis testing Moo K. Chung mchung@stat.wisc.edu Feb 20, 2003 Concepts 1. The null hypothesis H 0 is a claim about the value of a population parameter. The alternate hypothesis H 1 is a claim opposite to H 0 . 2. A test of hypothesis is a method for using sam- ple data to decide whether to reject H 0 . H 0 will be assumed to be true until the sample evidence suggest otherwise. 3. A test statistic is a function of the sample data on which the decision is to be based. 4. A rejection region is the set of all values of a test statistic for which H 0 is rejected. 5. Type I error : you reject H 0 when H 0 is true. P (Type I error) = P (reject H 0 | H 0 true) = α. The resulting α is called the signiFcance level of the test and the corresponding test is called a level α test . We will use test procedures that give α less than a speciFed level (0.05 or 0.01). In-class problem I believe that dogs are as smart as people. Assume IQ of a dog follows X i N ( μ, 10 2 ). IQ of 10 dogs
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This note was uploaded on 01/31/2008 for the course STAT 312 taught by Professor Chung during the Spring '04 term at Wisconsin.

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