Find the margin of error for the survey results described.
-In a poll of 1534 adults, 35% said that they exercised regularly. Give your answer as a percentage to one decimal place.
A)0.1%
B)5.1%
C)2.6%
D)1.3%

Question

Quizplus · Accepted Answer

The margin of error for a survey is the maximum amount by which the results of the survey could differ from the true population value. It is calculated using the formula:Margin of error = z * sqrt((p * (1 - p)) / n)where:z is the z-score corresponding to the desired confidence levelp is the sample proportionn is the sample sizeIn this case, we have a sample size of 1534 and a sample proportion of 0.35. We want to find the margin of error for a 95% confidence level, which corresponds to a z-score of 1.96. Plugging these values into the formula, we get:Margin of error = 1.96 * sqrt((0.35 * (1 - 0.35)) / 1534) = 0.026Therefore, the margin of error is 2.6%.

Find the Margin of Error for the Survey Results Described