a. A news report summarizes a poll of voters and then adds that the margin of er
ID: 3055831 • Letter: A
Question
a. A news report summarizes a poll of voters and then adds that the margin of error is plus or minus 44 %. Explain what that means.
A. With some degree of confidence, the percentage of the population of voters that would answer in the reported way is within
44 % of the reported percentage.
B. With some degree of confidence, the population values of all numbers reported in the poll are within the range enclosed by those numbers scaled down and up by 44 %.
C. With some degree of confidence, there is a 44 % chance that the answer given by the greatest percentage of voters in the poll is not the answer that the greatest percentage of voters in the population would give.
D. The percentage of the population of voters that would answer in the reported way is within 44 % of the reported percentage.
b. Mark the following statement True or False. If you believe that the statement is false, briefly explain why you think it is false.
If the 95% confidence interval for the number of moviegoers who purchase from the concession stand is 30% to 45%, then fewer than half of all moviegoers do not purchase from the concession stand.
A. The statement is false. The confidence interval shows that it is not possible that fewer than half of all moviegoers do not purchase from the concession stand.
B. The statement is false. The confidence interval shows that 37.5% of all moviegoers purchase from the concession stand.
C. The statement is false. The confidence interval provides evidence that more than half of all moviegoers do not purchase from the concession stand.
D. The statement is true.
Explanation / Answer
(a) Option A is correct.
With some degree of confidence, the percentage of the population of voters that would answer in the reported way is within 44 % of the reported percentage.
(b) Option D is correct.
The statement is true.
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