In constructing a confidence interval, suppose a student decides to decrease the level of confidence from 95% to 90 %. Assume all other quantities of interest remain unchanged. Which answer best describes the resulting effect (if any) on the confidence interval? Select one:a. The width of the confidence interval will be narrower. b. The width of the confidence interval will be unchanged. c. The width of the confidence interval will be wider. d. The upper and lower limits of the confidence interval will be shifted down by an equal distance. e. The confidence interval will no longer contain µ.

Question

Mathematics

Kellen Murphy

16 September, 15:13

In constructing a confidence interval, suppose a student decides to decrease the level of confidence from 95% to 90 %. Assume all other quantities of interest remain unchanged. Which answer best describes the resulting effect (if any) on the confidence interval? Select one:a. The width of the confidence interval will be narrower. b. The width of the confidence interval will be unchanged. c. The width of the confidence interval will be wider. d. The upper and lower limits of the confidence interval will be shifted down by an equal distance. e. The confidence interval will no longer contain µ.

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Answers (1)

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Azkaban · Answer 1

Option A) The width of the confidence interval will be narrower.

Step-by-step explanation:

We are given the following in the question:

A student decreases the level of confidence from 95% to 90%, while all other quantities remained unchanged.

The confidence level decreased from 95% to 90%.

Since the confidence level decreases, the corresponding statistic decreases.

This will decrease the marginal error.

Thus, the confidence interval will become narrower.

Option A) The width of the confidence interval will be narrower.