Chapter 10

# Chapter 10 - Chapter 10 One and Two-Sample Tests of...

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Chapter 10. One- and Two-Sample Tests of Hypotheses 10.1 Statistical Hypotheses : General Concepts A statistical hypothesis is an assertion or conjecture concerning one or more populations. Null hypothesis ( 0 H ) : This refers to any hypothesis we wish to test and is denoted by 0 H . : The rejection of 1 H leads to the acceptance of an alternative hypothesis denoted by 1 H . Alternative hypothesis ( 1 H )

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10.2 Testing a Statistical Hypothesis Rejection of the null hypothesis when it is true is called a type I error . Acceptance of the null hypothesis when it is false is called a type II error . Important properties of a test of hypothesis 1. The type I error and type II error are related. A decrease in the probability of one generally results in an increase in the probability of the other. 2. The size of the critical region, and therefore the probability of committing a type I error, can always be reduced by adjusting the critical value(s).
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## This note was uploaded on 10/02/2011 for the course STAT 3011 taught by Professor Wang,zhan during the Spring '09 term at Minnesota.

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Chapter 10 - Chapter 10 One and Two-Sample Tests of...

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