Unformatted text preview: zα /2 = 1.96 for 95% conﬁdence interval
∗
∗
zα /2 = 2.575 for 99% conﬁdence interval; zα /2 = 3 for
99.7% CI. Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion CI and ME Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Conﬁdence versus Margin of Error A. True
B. False
1. Increasing the level of conﬁdence increases the
margin of error.
2. Decreasing the level of conﬁdence decreases the
margin of error. Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Conﬁdence versus Margin of Error A. True
B. False
1. Increasing the level of conﬁdence increases the
margin of error.
2. Decreasing the level of conﬁdence decreases the
margin of error. Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Margin of Error Conﬁdence Interval for p :
∗
ˆ
p ± zα /2 ∗ Margin of error: ˆ
ˆ
p (1 − p )
n ∗
ME = zα /2 ∗ ˆ
ˆ
p (1 − p )
n Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Sample Size Calculation for Proportio...
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 Spring '08
 Ioudina
 Normal Distribution, Standard Deviation, Modeling and Inference

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