Death penalty, again In the survey on the death penaltyyou read about in the chapter, the Gallup Poll actuallysplit the sample at random, asking 510 respondents the question quoted earlier, “Generally speaking, do you be-lieve the death penalty is applied fairly or unfairly in this country today?” The other 510 were asked “Generally speaking, do you believe the death penalty is applied un-fairly or fairly in this country today?” Seems like the same question, but sometimes the order of the choices matters.Asked the first question, 58% said the death penalty wasfairly applied; only 54% said so with the second wording.a) What kind of bias may be present here?b) If we combine them, considering the overall groupto be one larger random sample of 1020 respondents,what is a 95% confidence interval for the proportionof the general public that thinks the death penalty isbeing fairly applied?c) How does the margin of error based on this pooledsample compare with the margins of error from theseparate groups? Why?
Death penalty, again In the survey on the death penaltyyou read about in the chapter, the Gallup Poll actuallysplit the sample at random, asking 510 respondents the question quoted earlier, “Generally speaking, do you be-lieve the death penalty is applied fairly or unfairly in this country today?” The other 510 were asked “Generally speaking, do you believe the death penalty is applied un-fairly or fairly in this country today?” Seems like the same question, but sometimes the order of the choices matters.Asked the first question, 58% said the death penalty wasfairly applied; only 54% said so with the second wording.a) What kind of bias may be present here?b) If we combine them, considering the overall groupto be one larger random sample of 1020 respondents,what is a 95% confidence interval for the proportionof the general public that thinks the death penalty isbeing fairly applied?c) How does the margin of error based on this pooledsample compare with the margins of error from theseparate groups? Why?
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 4E
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Question
Death penalty, again In the survey on the death penalty
you read about in the chapter, the Gallup Poll actually
split the sample at random, asking 510 respondents the
you read about in the chapter, the Gallup Poll actually
split the sample at random, asking 510 respondents the
question quoted earlier, “Generally speaking, do you be-
lieve the death penalty is applied fairly or unfairly in this
lieve the death penalty is applied fairly or unfairly in this
country today?” The other 510 were asked “Generally
speaking, do you believe the death penalty is applied un-
fairly or fairly in this country today?” Seems like the same
fairly or fairly in this country today?” Seems like the same
question, but sometimes the order of the choices matters.
Asked the first question, 58% said the death penalty was
fairly applied; only 54% said so with the second wording.
a) What kind of bias may be present here?
b) If we combine them, considering the overall group
to be one larger random sample of 1020 respondents,
what is a 95% confidence interval for the proportion
of the general public that thinks the death penalty is
being fairly applied?c) How does the margin of error based on this pooled
sample compare with the margins of error from the
separate groups? Why?
Asked the first question, 58% said the death penalty was
fairly applied; only 54% said so with the second wording.
a) What kind of bias may be present here?
b) If we combine them, considering the overall group
to be one larger random sample of 1020 respondents,
what is a 95% confidence interval for the proportion
of the general public that thinks the death penalty is
being fairly applied?c) How does the margin of error based on this pooled
sample compare with the margins of error from the
separate groups? Why?
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