APFIVE Large Counts Condition For Proportions
A researcher collects a sample of $$80$$ subjects and expects a proportion of success to be approximately $$p \approx 0.95$$. A confidence interval is then constructed using the normal approximation. Which of the following describes a potential error in this methodology?
A
He incorrectly assumed the sample was collected using stratified sampling.
B
He misinterpreted the significance level as the margin of error.
C
He ignored that $$n(1-p) = 80\times(1-0.95) = 4$$ is less than 10, making the normal approximation invalid.
D
He should have used the $$t$$-distribution instead of the normal approximation.
E
He miscomputed the sample proportion by using a weighted average.
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