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Chapter 10. One and TwoSample 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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View Full Document10.2 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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 Spring '09
 WANG,ZHAN

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