A survey asked, "Do you think that homeless people are responsible for the situation they are in?" Of the 2,501 Americans surveyed, 1,401 said no. (a) Determine the sample proportion of Americans who think that homeless people are not responsible for the situation they are in. (Round your answer to the nearest whole number.) Sample proportion is % (b) With an 80% level of confidence, find the margin of error (MOE) associated with the sample proportion. (Give the answer to one decimal place, if needed.) MOE = % (c) With a 95% level of confidence, find the margin of error (MOE) associated with the sample proportion. (Give the answer to one decimal place, if needed.) MOE = %

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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A survey asked, "Do you think that homeless people are responsible for the situation they are in?" Of the 2,501 Americans surveyed, 1,401 said no.

(a) Determine the sample proportion of Americans who think that homeless people are not responsible for the situation they are in. (Round your answer to the nearest whole number.)
Sample proportion is %

(b) With an 80% level of confidence, find the margin of error (MOE) associated with the sample proportion. (Give the answer to one decimal place, if needed.)
MOE = %

(c) With a 95% level of confidence, find the margin of error (MOE) associated with the sample proportion. (Give the answer to one decimal place, if needed.)
MOE = %

(d) The answer in part (c) is     the answer in part (b). Why?
In order to guarantee 95% accuracy, we must increase the error.
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