If the interval for a sample proportion is (0.49,0.54) with 99% confidence, which of the following correctly calculates the margin of error?(1 point)

Question

Responses

0.515
0.515

1.03
1.03

0.025
0.025

0.25

Answer 1

The margin of error (ME) in a confidence interval can be calculated by taking half the width of the interval.

Given the interval (0.49, 0.54):

1. Calculate the width of the interval: \[ \text{Width} = 0.54 - 0.49 = 0.05 \]

2. Divide the width by 2 to find the margin of error: \[ \text{Margin of Error} = \frac{0.05}{2} = 0.025 \]

Thus, the correct calculation for the margin of error is 0.025.