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Large Counts Condition For Proportions

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A researcher collects a sample of 8080 subjects and expects a proportion of success to be approximately p≈0.95p \approx 0.95. A confidence interval is then constructed using the normal approximation. Which of the following describes a potential error in this methodology?

A

He should have used the tt-distribution instead of the normal approximation.

B

He ignored that n(1−p)=80×(1−0.95)=4n(1-p) = 80\times(1-0.95) = 4 is less than 10, making the normal approximation invalid.

C

He incorrectly assumed the sample was collected using stratified sampling.

D

He miscomputed the sample proportion by using a weighted average.

E

He misinterpreted the significance level as the margin of error.

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