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Confidence Level and Interval Width

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In a study comparing two teaching methods, 45 of 80 students using Method A passed an exam, and 60 of 90 students using Method B passed. The conditions for inference have been verified. Which statement describes a primary consequence of constructing a 99% confidence interval for p₁ - p₂, the true difference in proportions?

A

The sample sizes are too small for a valid interval

B

The interval would be wider due to the larger z* multiplier

C

The formula doesn’t apply when proportions differ by >10%

D

The standard error decreases at higher confidence levels

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