Chapter 10.3 Hypothesis Tests for a Population Mean
To test a hypothesis involving the mean use:
Ttest when
30 .
is not known and the population is normally distributed or n
0 : Claim
x : Mean
s x : Sample Standard Deviation
n:
Sample size
: 0 < 0> 0
W
Chapter 10.2 Hypothesis Tests for a Population Proportion
To test a hypothesis about a proportion use:
3 Possible claims about a Population Proportion
1PropZTest given that np(1p) 10
p 0< p 0> p 0
If np(1p) 10, use Binomial distribution instead
of 1P
Chapter 7 Normal distribution
To find
cfw_Probability
Area
use normalcdf ( Left bound, Right bound,
, )
Left bound is the cut off value on the left. If it is not cut off on the left use 99999 to represent negative
infinity.
Right bound is the cut off va
Chapter 12.1
A
2
2
GoodnessofFit Test
goodnessoffit test is used to determine whether a frequency distribution follows a specific
distribution.
To perform a
2
goodness offit test, use
2
GOFTest.
Observed: Frequency of the data
Expected: n* pi
Recal
Chapter 7 Normal distribution ( invNorm )
If you are given
cfw_Probability
Area
use invNorm ( Area of the left side,
, ) to find zscores.
=mean
=standard diviation
If
are not given use 0, 1 as the default or standard values
Example problems:
1) Find
Chapter 8.1 Distribution of the Sample Mean
cfw_Probability
Area
To find
use Normalcdf (Left bound, Right bound,
x ,
n
)
Left bound is the cut off value on the left. If it is not cut off on the left use 9999 to represent negative
infinity.
Right bound i
Chapter 10.1 Hypothesis Testing Regarding a Parameter
Null Hypothesis, denoted H 0 , is a statement of no change, no effect, or no difference. It is
Determine the null and alternative hypothesis
assumed to be true.
1. According to the U.S. Census Bureau,
Chapter 6.2
Binomial Probability Distributions
Criteria for a binomial probability experiment:
1.
2.
3.
4.
The experiment is performed a set number of times
Each trial is independent
Only 2 outcomes in the experiment (success or failure, yes or no, etc.)
Chapter 9.2 Estimating a Population Mean
To construct a confidence interval of the population mean use:
If given data in a table
T Interval
x :
instead of
x is the sample mean
s:
s is the sample standard deviation
n:
n is the sample size
CLevel:
CLevel
Chapter 8.2 Distribution of the Sample Proportion
The sampling distribution of
1) np(1p)
^p is normal if:
10
and
2) n
.05N
The sample proportion is:
^p=
x
n
The mean of the sampling distribution of
^p= p
^p is:
The standard deviation of the sampling d
Chapter 9.1 Estimating a Population Proportion
To construct a confidence interval of the population proportion use:
1PropZInt
x:
x is the number of individuals from the sample
n:
n is the sample size
CLevel:
CLevel is the confidence level
A confidence
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
o wg j c o n
o w \r c L * A
vl
.
R qves: or 1

y <eper e

Lowel cAi l n
O L
8e i A s
v :;
1 g
N

o t s G w
A l
p
[
1
.
.
w
w
e
n
m
:
x
l 5
s
m 
e
a
m o
ai
y
n

n
e 1
ie
Y
1

m
4r
b
c
l1n

d

e
'
,
21Jc 1 2 7
y
e w i
n
en t
ci e n v
ow
cB
H
p
7e
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner