If you decrease a significance level (say from 5% to 1%) in constructing a confi

Question

If you decrease a significance level (say from 5% to 1%) in constructing a confidence interval you would find
A. The confidence interval to be narrower B. The confidence interval to be wider C. The confidence interval to me unaffected D. The significance interval to be narrower E. The significance interval to be wider If you decrease a significance level (say from 5% to 1%) in constructing a confidence interval you would find
A. The confidence interval to be narrower B. The confidence interval to be wider C. The confidence interval to me unaffected D. The significance interval to be narrower E. The significance interval to be wider
A. The confidence interval to be narrower B. The confidence interval to be wider C. The confidence interval to me unaffected D. The significance interval to be narrower E. The significance interval to be wider

Explanation / Answer

If we decrease a significance level in constructing a confidence interval , you would find the confidence interval to be wider. So the correct option is B. To get higher confidence, we need to make the interval wider.  In other words, in order to be more confident that our interval actually contains the population mean, we have to increase the size of the interval, i.e., we have to be less precise.

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