Polling 2004. In the 2004 U.S. presidential election,the official results showed that George W. Bush received50.7% of the vote and John Kerry received 48.3%. RalphNader, running as a third-party candidate, picked uponly 0.4%. After the election, there was much discussionabout exit polls, which had initially indicated a differentresult. Suppose you had taken a random sample of 1000voters in an exit poll and asked them for whom they hadvoted.a) Would you always get 507 votes for Bush and 483 forKerry? b) In 95% of such polls, your sample proportion of vot-ers for Bush should be between what two values? c) In 95% of such polls, your sample proportion of vot-ers for Nader should be between what two numbers? d) Would you expect the sample proportion of Nadervotes to vary more, less, or about the same as thesample proportion of Bush votes? Why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Polling 2004. In the 2004 U.S. presidential election,
the official results showed that George W. Bush received
50.7% of the vote and John Kerry received 48.3%. Ralph
Nader, running as a third-party candidate, picked up
only 0.4%. After the election, there was much discussion
about exit polls, which had initially indicated a different
result. Suppose you had taken a random sample of 1000
voters in an exit poll and asked them for whom they had
voted.
a) Would you always get 507 votes for Bush and 483 for
Kerry?
b) In 95% of such polls, your sample proportion of vot-
ers for Bush should be between what two values?
c) In 95% of such polls, your sample proportion of vot-
ers for Nader should be between what two numbers?
d) Would you expect the sample proportion of Nader
votes to vary more, less, or about the same as the
sample proportion of Bush votes? Why?
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