This preview shows page 1. Sign up to view the full content.
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).
Inclass 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
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/31/2008 for the course STAT 312 taught by Professor Chung during the Spring '04 term at Wisconsin.
 Spring '04
 Chung
 Statistics

Click to edit the document details