A survey was conducted to determine the percentage of college students who would vote for Justin Trudeau. The results were given as 35% with a margin of error of +/- 4%. What does a margin of error of +/- 4% mean?
Question 4 options:
4% of the population was not included in the survey? |
|
the percentage of the population that was surveyed was between 31% and 39% |
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4% of the students surveyed will most likely change their minds. |
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The difference between the sample proportion and the population proportion is likely to be less than 4% |
The correct option is:
The difference between the sample proportion and the population proportion is likely to be less than 4%
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Reason:
A margin of error tells you how many percentage points your results will differ from the real population value. For example, a 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 35% of the time.
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