Belief in Haunted Places A random sample of 280 college students were asked if they believed that places could be haunted, and 107 responded yes. Estimate the true proportion of college students who believe in the possibility of haunted places with 95% confidence. According to Time magazine, 37% of Americans believe that places can be haunted. Round intermediate and final answers to at least three decimal places.
Belief in Haunted Places A random sample of 280 college students were asked if they believed that places could be haunted, and 107 responded yes. Estimate the true proportion of college students who believe in the possibility of haunted places with 95% confidence. According to Time magazine, 37% of Americans believe that places can be haunted. Round intermediate and final answers to at least three decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Belief in Haunted Places A random sample of 280 college students were
asked if they believed that places could be haunted, and 107 responded yes.
Estimate the true proportion of college students who believe in the
possibility of haunted places with 95% confidence. According to Time
magazine, 37% of Americans believe that places can be haunted. Round
intermediate and final answers to at least three decimal places.
<p<

Transcribed Image Text:Sample Question
Belief in Haunted Places A random sample of
330 college students were asked if they believed
that places could be haunted, and 136
responded yes. Estimate the true proportion of
college students who believe in the possibility of
haunted places with 95% confidence. According
to Time magazine, 37% of Americans believe
that places can be haunted. Round intermediate
and final answers to at least three decimal
places.
Explanation
Formula for a Specific Confidence
Interval for a Proportion
pq
pg
P-²α/²√
<p<p+za √²
n
n
when n and nq are each greater
than or equal to 5.
For a 95% confidence interval, za/2=1.96.
Find and 9.
^ X 136
p=
n
330
= 0.412
q=1-p=1-0.412
= 0.588
Calculate the confidence interval.
0.412 1.961
(0.412) (0.588)
330
<p<0.412+1.96
0.412 0.053<p<0.412+0.053
0.359<p<0.465
Hence, one can be 95% confident that the true
proportion of college students who believe in
the possibility of haunted places is between
35.9% and 46.5%, based on a sample of 330
college students.
(0.412) (0.588)
330
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