A random sample of likely voters showed that 62% planned to vote for Candidate X, with a margin of error of 3 percentage points and with 95% confidence. a. Use a carefully worded sentence to report the 95% confidence interval for the percentage of voters who plan to vote for Candidate X. b. Is there evidence that Candidate X could lose? c. Suppose the survey was taken on the streets of a particular city and the candidate was running for president of the country that city is in. Explain how that would affect your conclusion.

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A random sample of likely voters showed that 62% planned to vote for Candidate X, with a margin of error of 3 percentage points and with 95% confidence.
a. Use a carefully worded sentence to report the 95% confidence interval for the percentage of voters who plan to vote for Candidate X.
b. Is there evidence that Candidate X could lose?
c. Suppose the survey was taken on the streets of a particular city and the candidate was running for president of the country that city is in. Explain how that would affect your conclusion.
a. Which of the following statements best describes the confidence interval for the percentage of voters who plan to vote for Candidate X?
O A. I am 95% confident that the population percentage of voters supporting Candidate X is between 62% and 65%.
O B. I am 95% confident that the population percentage of voters supporting Candidate X is between 59% and 62%.
OC. I am 95% confident that the population percentage of voters not supporting Candidate X is between 59% and 65%.
O D. I am 95% confident that the population percentage of voters supporting Candidate X is between 59% and 65%.
b. Is there evidence that Candidate X could lose?
A. There is evidence that the candidate could lose. The reason there is evidence is because the interval is entirely above 50%.
O B. There is no evidence that the candidate could lose. The reason there is no evidence is because 62% of the sample voters planned to vote for Candidate X.
C. There is no evidence that the candidate could lose. The reason there is no evidence is because the interval is entirely above 50%.
O D. There is evidence that the candidate could lose. The reason there is evidence is because the margin of error is 3%.
c. Which of the following is the best explanation on how the survey would affect your conclusion?
A. A sample from this particular city would not be representative of the entire country and would be helpful in this context.
B. A sample from this particular city would not be representative of the entire country and would be worthless in this context.
O C. A sample from this particular city would be representative of the entire country and would be helpful in this context.
O D. A sample from this particular city would be representative of the entire country and would be worthless in this context.
Transcribed Image Text:A random sample of likely voters showed that 62% planned to vote for Candidate X, with a margin of error of 3 percentage points and with 95% confidence. a. Use a carefully worded sentence to report the 95% confidence interval for the percentage of voters who plan to vote for Candidate X. b. Is there evidence that Candidate X could lose? c. Suppose the survey was taken on the streets of a particular city and the candidate was running for president of the country that city is in. Explain how that would affect your conclusion. a. Which of the following statements best describes the confidence interval for the percentage of voters who plan to vote for Candidate X? O A. I am 95% confident that the population percentage of voters supporting Candidate X is between 62% and 65%. O B. I am 95% confident that the population percentage of voters supporting Candidate X is between 59% and 62%. OC. I am 95% confident that the population percentage of voters not supporting Candidate X is between 59% and 65%. O D. I am 95% confident that the population percentage of voters supporting Candidate X is between 59% and 65%. b. Is there evidence that Candidate X could lose? A. There is evidence that the candidate could lose. The reason there is evidence is because the interval is entirely above 50%. O B. There is no evidence that the candidate could lose. The reason there is no evidence is because 62% of the sample voters planned to vote for Candidate X. C. There is no evidence that the candidate could lose. The reason there is no evidence is because the interval is entirely above 50%. O D. There is evidence that the candidate could lose. The reason there is evidence is because the margin of error is 3%. c. Which of the following is the best explanation on how the survey would affect your conclusion? A. A sample from this particular city would not be representative of the entire country and would be helpful in this context. B. A sample from this particular city would not be representative of the entire country and would be worthless in this context. O C. A sample from this particular city would be representative of the entire country and would be helpful in this context. O D. A sample from this particular city would be representative of the entire country and would be worthless in this context.
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