In the construction of confidence intervals, if all other quantities are unchanged, an increase in the sample size will lead to a ___________ interval.

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25-08-2022
Social Studies

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In the construction of confidence intervals, if all other quantities are unchanged, an increase in the sample size will lead to a ___________ interval.

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Tutorconsortium319 Tutorconsortium319 · Answer 1 · 2022-08-30T15:47:45-04:00

If all other parameters remain constant, an increase in sample size will result in a narrower interval for constructing confidence intervals.

What is considered a narrow confidence interval?

The effect size is known with precision if the confidence interval is relatively small (e.g., 0.70 to 0.80). Although there may still be sufficient clarity to make judgements regarding the usefulness of the intervention, the uncertainty is higher if the interval is wider (for example, 0.60 to 0.93).

What causes a confidence interval to get smaller?

The confidence interval will be closer with a smaller margin of error if the sample size is higher or the variability is lower. The margin of error will be higher and the confidence interval will be wider if the sample size is smaller or more variable. The interval width also depends on the degree of confidence.

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