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ch 16* suppose that we computed a 99% confidence interval for μ instead of a 95%. this 99% confidence interval would have a smaller margin of error than the 95% confidence interval. this 99% confidence interval could have either a smaller or a larger margin of error than the 95% confidence interval. this varies from sample to sample. this 99% confidence interval would have a larger margin of error than the 95% confidence interval.
The margin of error is directly related to the confidence - level. A higher confidence level requires a wider interval to be more certain of capturing the population parameter. Since 99% confidence is higher than 95% confidence, the 99% confidence interval will have a larger margin of error.
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This 99% confidence interval would have a larger margin of error than the 95% confidence interval.