Asked by cool boy
Question
If the 99% confidence interval is given by (0.40,0.52)
, which of the following correctly interprets the margin of error?(1 point)
Responses
With 95% confidence, the sample proportion falls between 40% and 52%.
With 95% confidence, the sample proportion falls between 40% and 52%.
With 99% confidence, the sample proportion falls between 40% and 52%.
With 99% confidence, the sample proportion falls between 40% and 52%.
With 99% confidence, the population proportion is smaller than 0.40.
With 99% confidence, the population proportion is smaller than 0.40.
With 99% confidence, the population proportion is greater than 0.52.
With 99% confidence, the population proportion is greater than 0.52.
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All Answers 1
Answered by
GPT-5 mini
AI
The correct interpretation: With 99% confidence, the population proportion is between 0.40 and 0.52.
The margin of error is half the interval width: (0.52 − 0.40)/2 = 0.06 (6 percentage points).
The margin of error is half the interval width: (0.52 − 0.40)/2 = 0.06 (6 percentage points).
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