What confidence interval will have the larger margin of error when using the same sample data and why? A 95% confidence interval or a 90% confidence interval?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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  1.  What confidence interval will have the larger margin of error when using the same sample data and why? A 95% confidence interval or a 90% confidence interval?

Expert Solution
Step 1

Since we know that,

Confidence interval = the estimate ± the margin of error

Margin of error is given by

Statistics homework question answer, step 1, image 1

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