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3) In a Pew Research Center report from January 2015, 37% of American adults say that...

3)

In a Pew Research Center report from January 2015, 37% of American adults say that genetically modified (GM) foods are generally safe to eat. The margin of error for the 95% confidence interval is 3.1%.

What does this margin of error tell you about the results of the survey?

Group of answer choices

We are confident that the population proportion is within 3.1% of the sample proportion of 37%.

We are confident that 95% of the responses are within 3.1% of the population proportion.

We are 95% confident that the sample proportion is off by 3.1%.

We are 95% confident that the population proportion is within 3.1% of the sample proportion of 37%.

Math   Statistics-And-Probability   
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Answer #1

Answer: Option (4).

The 100(1-)% of the population proportion is given by, , where is the sample proportion.

It is given that the sample proportion is, 37% and margin of error is 3.1%. In most general terms, for a 95% confidence interval, we say “we are 95% confident that the true population parameter is between the lower and upper calculated values”. Hence here we can say that we are 95% confident that is within 3.1% of .

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