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The Conﬁdence Interval measures the capture rate for our
method of ﬁnding CI Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion CONFIDENCE INTERVAL
Conﬁdence Interval for p :
The margin of error means that we are (1α )100%
conﬁdent that the population proportion is within
±ME of the sample proportion.
or: we are (1α )100% conﬁdent that the true
proportion (of something) is within ±ME % of the
estimated proportion.
EX: The estimated Mean GPA from a random sample of
¯
1000 students is x = 2.7 with a ME of .025.
This means that we can be 95% conﬁdent that the mean
grade point average in the population is 2.7 plus or
minus 0.025, since the margin of error is 0.025. Sampling Distribution of the Sample Proportion (continued Checkpoint 3  Modeling and Inference
Sampling Distribution of the Sample Proportion Common Values of zα /2 ∗
zα /2 = 1.645 or 1.65 for 90% conﬁdence interval
∗...
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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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