A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The local newspaper finds that 53% of 1600 randomly selected voters plan to vote "yes," while a college Statistics class finds 54% of 250 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. a) Without finding the confidence intervals, explain which one will have the larger margin of error. will have the larger margin of error, at least mainly because b) Find both confidence intervals. The confidence interval for the local newspaper is %.%) (Round to one decimal place as needed.) The confidence interval for the college Statistics class (%,%). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? V that the outcome is too close to call, since the interval(s) obtained by this/these group(s)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The
local newspaper finds that 53% of 1600 randomly selected voters plan to vote "yes," while a college Statistics class finds 54% of 250 randomly selected voters in
support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to
pass. Complete parts a through c below.
a) Without finding the confidence intervals, explain which one will have the larger margin of error.
V will have the larger margin of error, at least mainly because
b) Find both confidence intervals.
The confidence interval for the local newspaper is ( %. %)
(Round to one decimal place as needed.)
The confidence interval for the college Statistics class (%, %).
(Round to one decimal place as needed.)
c) Which group concludes that the outcome is too close to call? Why?
V that the outcome is too close to call, since the interval(s) obtained by this/these group(s)
Transcribed Image Text:A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The local newspaper finds that 53% of 1600 randomly selected voters plan to vote "yes," while a college Statistics class finds 54% of 250 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. a) Without finding the confidence intervals, explain which one will have the larger margin of error. V will have the larger margin of error, at least mainly because b) Find both confidence intervals. The confidence interval for the local newspaper is ( %. %) (Round to one decimal place as needed.) The confidence interval for the college Statistics class (%, %). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? V that the outcome is too close to call, since the interval(s) obtained by this/these group(s)
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