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According to a Gallup poll, about 90% of all American adults owned a cell phone at the time of the poll. The results are based on telephone interviews with a randomly selected national sample of 998 adults, 18 years and older. The margin of error was reported to be 3.5%.
-Which of the following statements correctly interprets the reported margin of error of 3.5%?
A) In about 95% of all random samples of this size from the same population, the difference between the sample percent and the population percent will be less than 3.5%.
B) In about 3.5% of all random samples of this size from the same population, the sample percent will equal the population percent.
C) The probability that a 95% confidence interval based on this poll does not cover the population proportion is 3.5%.
D) In about 95% of all random samples of this size from the same population, the difference between the sample percent and the population percent will be more than 3.5%.

Question

Use the following information for questions:
 According to a Gallup poll, about 90% of all American adults owned a cell phone at the time of the poll. The results are based on telephone interviews with a randomly selected national sample of 998 adults, 18 years and older. The margin of error was reported to be 3.5%.
-Which of the following statements correctly interprets the reported margin of error of 3.5%?
A) In about 95% of all random samples of this size from the same population, the difference between the sample percent and the population percent will be less than 3.5%.
B) In about 3.5% of all random samples of this size from the same population, the sample percent will equal the population percent.
C) The probability that a 95% confidence interval based on this poll does not cover the population proportion is 3.5%.
D) In about 95% of all random samples of this size from the same population, the difference between the sample percent and the population percent will be more than 3.5%.

Quizplus · Accepted Answer

The margin of error in polling data indicates the range within which the true population parameter is expected to lie with a certain level of confidence. Statement A correctly interprets the margin of error as meaning that for 95% of all random samples of the same size from the same population, the difference between the sample percentage and the true population percentage will be less than 3.5%.

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