8. On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked which candidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for candidate Taylor. A margin of error of 3 percentage points is calculated. Which of the following statements is appropriate? (A) The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportion of voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collected from a random sample. (B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that more than half of all likely voters plan to vote for candidate Taylor. (C) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely voters in a large city. (D) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because this is not an experiment. (E) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because this is a random sample and not a census.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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8. On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked
which candidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for
candidate Taylor. A margin of error of 3 percentage points is calculated. Which of the following statements
is appropriate?
(A) The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportion
of voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collected
from a random sample.
(B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that more
than half of all likely voters plan to vote for candidate Taylor.
(C) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for
candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely
voters in a large city.
(D) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for
candidate Taylor because this is not an experiment.
(E) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for
candidate Taylor because this is a random sample and not a census.
Transcribed Image Text:8. On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked which candidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for candidate Taylor. A margin of error of 3 percentage points is calculated. Which of the following statements is appropriate? (A) The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportion of voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collected from a random sample. (B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that more than half of all likely voters plan to vote for candidate Taylor. (C) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely voters in a large city. (D) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because this is not an experiment. (E) It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because this is a random sample and not a census.
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