A New York Times Poll on women's issues interviewed 1025 women randomly selected from the United States, excluding Alaska and Hawaii. The poll found that 47% of the women said they do not get enough time for themselves. The poll announced a margin of error of ±3 percentage points for 95% confidence in its conclusions. The confidence statement, in relation to the given scenario, is: "We are 95% confident that between 44% and 50% of all women would say that they do not get enough time for themselves." Which of the following statements correctly explains the meaning of the term '95% confidence', in the confidence statement?

A New York Times Poll on women's issues interviewed 1025 women randomly selected from the United States, excluding Alaska and Hawaii. The poll found that 47% of the women said they do not get enough time for themselves. The poll announced a margin of error of ±3 percentage points for 95% confidence in its conclusions. The confidence statement, in relation to the given scenario, is: "We are 95% confident that between 44% and 50% of all women would say that they do not get enough time for themselves." Which of the following statements correctly explains the meaning of the term '95% confidence', in the confidence statement?




(A) The interval 44% to 50% is based on a procedure that produces a margin of error (of ±3) 95% of the time.
(B) The interval 44% to 50% is based on a procedure that includes a sample representing 95% of population.
(C) The interval 44% to 50% is based on a sample that we are 95% confident is a simple random sample.
(D) The interval 44% to 50% is based on a procedure that captures the true population value 95% of the time.


Answer: (D) The interval 44% to 50% is based on a procedure that captures the true population value 95% of the time.


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