Find the margin of error for the survey results described.
-In a survey of 125 adults, 30% said that they had tried acupuncture at some point in their lives. Give your answer as a decimal to three decimal places.
A)0.089
B)0.179
C)0.045
D)0.008

Question

Quizplus · Accepted Answer

The margin of error for a proportion can be calculated using the formula $ME = z \times \sqrt{\frac{p(1-p)}{n}}$, where $z$ is the z-score corresponding to the desired confidence level (not provided here, but commonly 1.96 for 95% confidence), $p$ is the proportion (0.30 in this case), and $n$ is the sample size (125). Without the confidence level specified, we can't directly calculate it, but given the options, we can deduce the most reasonable answer. Plugging the values into the formula gives a margin of error, which most closely matches option A when using common values for z.

Find the Margin of Error for the Survey Results Described