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Which of the following statements are true? I. The larger the margin of error, the narrower the confidence interval. II. The center of the confidence

Which of the following statements are true?

I. The larger the margin of error, the narrower the confidence interval.

II. The center of the confidence interval is a population parameter.

III. A confidence interval gives a range for possible values of the sample statistic with a specified level of confidence.

IV. When the confidence level goes down, the confidence interval gets wider.

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