Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval contains both negative and positive values.
Will a 99% confidence interval based on the same data contain both negative and positive numbers as well? Choose the correct response from the options provided below.
|A. Yes. Keeping all other values the same, increasing the confidence level leads to a wider interval which would still include negative and positive numbers.|
|B.||No. Increasing the confidence level leads to a narrower interval so we cannot be sure if the interval would still contain both negative and positive numbers.|
|C. Yes. All 99% confidence intervals for the difference in populations means contain both negative and positive numbers, no matter the situation.|
|D.||Not necessarily. We cannot be sure how changing the confidence level will affect the confidence interval.|
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