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Unformatted text preview: those p s will be p .
ˆ
The standard deviation of those p s will be
Notation:
ˆ
p ∼ Normal p, p (1−p )
n. p (1 − p )
n Demo:
http://lock5stat.com/statkey/sampling_1_cat/sampling_1_ca Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Assumptions and Conditions for CLT Assumptions:
Independence Assumption: all observations are
independent of each other.
Sample Size Assumption: n must be suﬃciently large. Conditions:
Simple Random Sample: sample is randomly selected
10% condition: n ≤ 10% of population
Success/Failure Conditions: np ≥ 10 and nq ≥ 10 Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Using The Central Limit Theorem 200 randomly selected American drivers were asked if
they text while driving.
48 of them admitted that the did.
1 2 Can the sampling distribution of the proportion be
approximately normal?
Fin...
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 Spring '08
 Ioudina

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