Chp
MI
OI
0 / tn
≥ 30
n
PC
sampling distribution
and
M
:
:
If
Z
Sampling
1
.
.
I
:
I
≤
.
-
≤
.
. .
central
apply
can
,
Limit
Theorem
I
µ
Table 3
>
0in
✗
132
N
~
0.32 )
,
>
Notation for normal distribution
only
up :p
Of
tpqln
:
It np
①
>
N
~
and
5
(
Up :p
It follow
a
PC0-8YE
2-
I
:
-
I
>
nq
:
5
0.85
normal
apply
can
,
,
0
"p
OLT
≥
:
curve
0.0252 )
1
bell
-
<
shaped
curve
<
≤ 0.90 )
p
>
Table 3
Of
Chp
2
Confidence
Interval
Estimation
✗
90%
0.1
95%
0.05
97%
0.03
99%
0.01
General
Format
Confidence
:
here /
=
Point Estimate
(I
±
-
d) 100%
Margin of
( maximum
Error
error
of estimate )
01 for it
How
( 0 known )
decrease
to
I ± Zala %
:
of
width
the
CI
>
①
:
②
[ 0 unknown )
CI for µ
C1 for p
Zala
-
n
:
-
:
O
F-
-
n
I
:
ZX12
E
-
-
2
3
>
"
Table 4
>
Table 4
^p
unknown
sample
S
,
at
tñ
size
df
,
V
:
n
:
-
>
I
Table Y
Table 4
derived
>
Confidence here /
from
E
ZH2E
:
.
p^^q
2
derived from
E
:
ZH21 p^^q
In
-
>
Chp
-1×12
±
tp^q In
I ZA2
-
I
:
u
Table 4
It
Hypothesis
Type
1 and I Error
Type
1
:
Type
I
:
:
u
decide to
u
don't
One
assume
p^ :O
.
5
,
{
=
0.5
,
p^^q=
0.25
sample
reject
reject
,
Ho
Ho
,
,
but
but
it's true
actually
actually
it's false
.
.
✗
B
Explain how the Type I error is committed in this case.
Type
1 error
is
committed
if
we
conclude
that
Hi
,
but in fact Ho
Explain how the Type II error is committed in this case.
Type
1 error is committed
if
we
conclude
that
Ho
.
but
in
fact
H,
Test statistic for
2-
=
I
Ho
M
-
mean
t
or
Oltn
I
:
①
tpqln
2.
Find
3.
Compare
p
-
>
P ( 2-
<
P I 2-
<
.
.
.
.
.
ta
or
Za
or
.
df
for
)
.
)
for
)
.
✗
+
left
>
-
only apply
P value method
normal
distribution
SND
Table Y for t distribution
-
.
-1×12
Or
Z
Or
>
df if
it
is a
two
t
tailed test
-
.
.
tailed test
.
)
for
✗
1
significance
p
>
✗
c
significance
value
.
-
,
Table 3
right
P I Z
with
≤
-
UM
Table 4 for
P value
-
-
In
ZX12
,
Iaaf
approach
.
.
Fort distribution
✗
Zx
value
PIZ
method
Value
Identify
=
standard
to
critical
I.
Ho
M
proportion
p
-
-
sltn
Test statistic for
Z
I
:
two
-
tailed test
level )
level )
.
,
Reject
Don't
Ho
reject
Ho
-
tailed test
Chp
0×-1
Z
:
-
Two
4
Ia
(
I
:
,
f
-
012
N
+
022
>
Provided
in
N2
I
Ia )
0×-1
Tests
sample
-
-
I2
( Mi
-
Ma )
normally
:O
appendix