Confidence Interval for a Population Proportion
AP Statistics · Flashcards
AP STATISTICS · FLASHCARDS
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QUESTION
Calculate the 90% CI for
p
ˉ
=
0.75
\bar{p} = 0.75
p
ˉ
=
0.75
,
n
=
150
n = 150
n
=
150
.
QUESTION
What is the sample proportion for 80 successes in 200 trials?
QUESTION
Calculate the 95% CI for
p
ˉ
=
0.45
\bar{p} = 0.45
p
ˉ
=
0.45
,
n
=
200
n = 200
n
=
200
.
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ANSWER
(
0.385
,
0.515
)
(0.385, 0.515)
(
0.385
,
0.515
)
. Using
0.45
±
1.96
0.45
(
0.55
)
200
=
(
0.385
,
0.515
)
0.45 \pm 1.96\sqrt{\frac{0.45(0.55)}{200}} = (0.385, 0.515)
0.45
±
1.96
200
0.45
(
0.55
)
=
(
0.385
,
0.515
)
.
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