Unformatted text preview: r No.
The Estimated sample proportion is:
number of successes
ˆ
p=
n
ˆ
Sampling Distribution of p is approximately normal with
mean equal to the population mean, p ,
and the standard deviation is approximate the population
standard deviation p (1−p )
.
n Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Sample Proportions 1 Notation
1
2
3
4 Sample size = n
ˆ
Sample proportion = p
Population size: N
Population proportion = p (usually unknown) µ (ˆ) = p and
p
−
σ (ˆ) = p (1n p ) , where p is the true but unknown
p
population proportion. Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Central Limit Theorem (CLT)
Theorem
Central Limit Theorem for sample proportion:
If numerous samples of size n are taken, the frequency curve
ˆ
or histogram of the sample proportions p s will be
approximately bell shaped.
ˆ
The mean of...
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This note was uploaded on 03/12/2014 for the course STATS 10 taught by Professor Ioudina during the Spring '08 term at UCLA.
 Spring '08
 Ioudina

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