STAT 409
Fall 2009
Name
ANSWERS
.
AD1
AD2
AD3
Version B
3 – 4
4 – 5
2 – 3
Please circle your section.
Page
Possible
Earned
1
12
2
12
3
9
4
13
5
10
6
14
Total
70
Exam 2
Be sure to show all your work; your
partial credit might depend on it.
Put your final answers at the end of
your work, and mark them clearly.
No credit will be given
without supporting work.
The exam is closed book and closed notes.
You are allowed to use a calculator and
one 8½" x 11" sheet with notes on it.
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1.
Let
X
have a Binomial distribution with the number of trials
n
= 8
and with
probability of “success”
p
.
We wish to test
H
0
:
p
= 0.40
vs.
H
1
:
p
> 0.40.
a)
(4)
Suppose we decided to use the rejection region “Reject
H
0
if
X
≥
6.”
Find the significance level
α
associated with this rejection region.
significance level
α
=
P
(
Reject
H
0

H
0
is true
)
=
P
(
X
≥
6

p
= 0.40
)
=
1 – P
(
X
≤
5

p
= 0.40
)
=
1 – 0.9502
=
0.0498
.
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 Spring '11
 Stepanov
 Statistics, Normal Distribution, Statistical hypothesis testing, Statistical significance, Statistical power, rejection region

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