In a recent public opinion poll of 750 adults, 40% said that, if they had to decide between watching a rerun of Gilligan's Island and watching the State of the Union address, they'd choose the rerun. The poll reported a margin of error of 5%. Which of the following best describes what is meant by a 5% margin of error? A. Of those polled, 5% were unclear as to which broadcast they would rather watch. B. The true population percentage is likely to be within 5% of the sample percentage. C. The 750 adults are not a random sample from the adult population. D. Of those polled, 40% will not watch the State of the Union address. E. Of those polled, 5% will probably change their minds and watch the State of the Union address.

Question

Mathematics

Peyton Grimes

27 December, 08:15

In a recent public opinion poll of 750 adults, 40% said that, if they had to decide between watching a rerun of Gilligan's Island and watching the State of the Union address, they'd choose the rerun. The poll reported a margin of error of 5%. Which of the following best describes what is meant by a 5% margin of error? A. Of those polled, 5% were unclear as to which broadcast they would rather watch. B. The true population percentage is likely to be within 5% of the sample percentage. C. The 750 adults are not a random sample from the adult population. D. Of those polled, 40% will not watch the State of the Union address. E. Of those polled, 5% will probably change their minds and watch the State of the Union address.

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Answers (1)

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Gracie Odonnell · Answer 1

B. The true population percentage is likely to be within 5% of the sample percentage.

Step-by-step explanation:

These samples have a confidence level of x%, which leads us to a confidence interval with a margin of error is M%.

This means that we are x% sure that the true population percentage is within M% of the sample percentage.

In this problem, the true population percentage is likely to be within 5% of the sample percentage.

So the correct answer is:

B. The true population percentage is likely to be within 5% of the sample percentage.