A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The percentage of people who said they preferred Candidate A was 36%. The margin of error for the survey was 3%. Which of the following is not a reasonable value for the actual percentage of the population that prefers Candidate A?
Question
A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The percentage of people who said they preferred Candidate A was 36%. The margin of error for the survey was 3%. Which of the following is not a reasonable value for the actual percentage of the population that prefers Candidate A?
Solution
The question is asking for a value that is not within the margin of error of the survey results. The margin of error is 3%, which means the actual percentage could reasonably be 3% higher or lower than the survey results.
The survey results showed that 36% of people preferred Candidate A. Therefore, any actual percentage between 33% (36% - 3%) and 39% (36% + 3%) would be considered reasonable.
So, any value outside of this range, such as 32% or 40%, would not be a reasonable value for the actual percentage of the population that prefers Candidate A.
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