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Sampling
Distribution of
Section 7.6
Lecture 28
p
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View Full Document Sampling Distribution of
•
The sampling proportion of
is the point
estimator of the population proportion
p
.
The
formula for computing the sample proportion is:
–
x
= the number of elements in the sample that possess
the characteristic of interest
–
n
= the sample size
x
p
n
p
p
Sampling Distribution of
•
The sampling distribution of
is the probability
distribution of all possible values of the sample
proportion
.
•
To determine how close the sample proportion is
to the population proportion
p
, we need to
understand the properties of the sampling
distribution of
:
1)
Expected Value
2)
Standard Deviation
3)
Form of the Sampling Distribution
p
p
p
p
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View Full Document Expected Value & Standard Deviation
()
E p p
(1
)
p
pp
n
Form of the Sampling Distribution
•
For a simple random sample from a large
population, the value of
x
is a binomial random
variable indicating the number of “successes”.
•
Because
n
is a constant, the probability of
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This note was uploaded on 02/06/2012 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 MARTIN

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