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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
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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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: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<
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
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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