APFIVE Confidence Level and Interval Width
In a study comparing two teaching methods, 45 of 80 students using Method A passed the exam, while 60 of 90 students using Method B passed. The conditions for inference have been verified. What is the critical issue with calculating a 99% confidence interval for (p̂₁ - p̂₂) in this scenario?
A
The formula doesn’t apply when proportions differ by >10%
B
The standard error decreases at higher confidence levels
C
The interval would be wider due to the larger z* multiplier
D
The sample sizes are too small for a valid interval
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