Answered: Death penalty, again In the survey on…

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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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

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 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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