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Question 6 of 25
An 80% confidence interval is found to be (200, 240). What is the margin of
error?
A. 32
B. 40
C. 16
D. 20
SUBMIT

Sagot :

GinnyAnswer
To determine the margin of error for the given 80% confidence interval (200, 240), follow these steps:

1. Identify the bounds of the confidence interval:
- The lower bound is 200.
- The upper bound is 240.

2. Calculate the range of the confidence interval:
- Subtract the lower bound from the upper bound:
[tex]\[ \text{Range} = 240 - 200 = 40 \][/tex]

3. Determine the margin of error:
- The margin of error is half of the range of the confidence interval:
[tex]\[ \text{Margin of Error} = \frac{\text{Range}}{2} = \frac{40}{2} = 20 \][/tex]

Thus, the margin of error is 20.

The correct answer is:
D. 20
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