CI for a Population Proportion A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona abou agree to the plan even if this might require the residents to do fund raising activities to augmer nterval for the proportion of residents favoring the restoration. What interpretation can we infer population proportion and standard error p(1- p)/n of the point estimator p. O a. 0.5014

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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CI for a Population Proportion
A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona about the planned restoration of an old historic building. 114 residents
agree to the plan even if this might require the residents to do fund raising activities to augment the cost of restoration. Find a two-sided 95% confidence
interval for the proportion of residents favoring the restoration. What interpretation can we infer about the width of the confidence interval, sample size,
population proportion and standard error p(1 - p)/n of the point estimator 6.
O a. 0.5014 < p < 0.6386. There appears to be no abnormality in the width of confidence interval.
Although the sample size (n = 200) does not appear to be small, the value of p somehow
represents the class of interest, which leads to a small standard error for p.
Ob.
= 200)
0.5014 <p < 0.6386. This is a wide confidence interval. Although the sample size (n =
does not appear to be small, the value of p doesn't quite represent the class of interest, which
leads to a large standard error for p.
O. 0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of ộ is fairly small, which leads to
a large standard error for p
O d.0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p is fairly small, which leads to
a large standard error for P
Transcribed Image Text:CI for a Population Proportion A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona about the planned restoration of an old historic building. 114 residents agree to the plan even if this might require the residents to do fund raising activities to augment the cost of restoration. Find a two-sided 95% confidence interval for the proportion of residents favoring the restoration. What interpretation can we infer about the width of the confidence interval, sample size, population proportion and standard error p(1 - p)/n of the point estimator 6. O a. 0.5014 < p < 0.6386. There appears to be no abnormality in the width of confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p somehow represents the class of interest, which leads to a small standard error for p. Ob. = 200) 0.5014 <p < 0.6386. This is a wide confidence interval. Although the sample size (n = does not appear to be small, the value of p doesn't quite represent the class of interest, which leads to a large standard error for p. O. 0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of ộ is fairly small, which leads to a large standard error for p O d.0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p is fairly small, which leads to a large standard error for P
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