Gender gap Candidates for political office realize thatdifferent levels of support among men and women maybe a crucial factor in determining the outcome of anelection. One candidate finds that 52% of 473 men polledsay they will vote for him, but only 45% of the 522women in the poll express support.a) Write a 95% confidence interval for the percent ofmale voters who may vote for this candidate. Interpretyour interval.b) Write and interpret a 95% confidence interval for thepercent of female voters who may vote for him.c) Do the intervals for males and females overlap? Whatdo you think this means about the gender gap?d) Find a 95% confidence interval for the difference inthe proportions of males and females who will vote forthis candidate. Interpret your interval.e) Does this interval contain zero? What does that mean? f) Why do the results in parts c and e seem contradic-tory? If we want to see if there is a gender gap among voters with respect to this candidate, which is the cor-rect approach? Why?
Gender gap Candidates for political office realize thatdifferent levels of support among men and women maybe a crucial factor in determining the outcome of anelection. One candidate finds that 52% of 473 men polledsay they will vote for him, but only 45% of the 522women in the poll express support.a) Write a 95% confidence interval for the percent ofmale voters who may vote for this candidate. Interpretyour interval.b) Write and interpret a 95% confidence interval for thepercent of female voters who may vote for him.c) Do the intervals for males and females overlap? Whatdo you think this means about the gender gap?d) Find a 95% confidence interval for the difference inthe proportions of males and females who will vote forthis candidate. Interpret your interval.e) Does this interval contain zero? What does that mean? f) Why do the results in parts c and e seem contradic-tory? If we want to see if there is a gender gap among voters with respect to this candidate, which is the cor-rect approach? Why?
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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Question
Gender gap Candidates for political office realize that
different levels of support among men and women may
be a crucial factor in determining the outcome of an
election. One candidate finds that 52% of 473 men polled
say they will vote for him, but only 45% of the 522
women in the poll express support.
a) Write a 95% confidence interval for the percent of
male voters who may vote for this candidate. Interpret
your interval.
b) Write and interpret a 95% confidence interval for the
percent of female voters who may vote for him.
c) Do the intervals for males and females overlap? What
do you think this means about the gender gap?
d) Find a 95% confidence interval for the difference in
the proportions of males and females who will vote for
this candidate. Interpret your interval.
e) Does this interval contain zero? What does that mean?
different levels of support among men and women may
be a crucial factor in determining the outcome of an
election. One candidate finds that 52% of 473 men polled
say they will vote for him, but only 45% of the 522
women in the poll express support.
a) Write a 95% confidence interval for the percent of
male voters who may vote for this candidate. Interpret
your interval.
b) Write and interpret a 95% confidence interval for the
percent of female voters who may vote for him.
c) Do the intervals for males and females overlap? What
do you think this means about the gender gap?
d) Find a 95% confidence interval for the difference in
the proportions of males and females who will vote for
this candidate. Interpret your interval.
e) Does this interval contain zero? What does that mean?
f) Why do the results in parts c and e seem contradic-
tory? If we want to see if there is a gender gap among
tory? If we want to see if there is a gender gap among
voters with respect to this candidate, which is the cor-
rect approach? Why?
rect approach? Why?
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