Question

Use the given confidence interval to find the margin of error and the sample proportion. ​(0.711​,0.739​)

Answer 1

Answer:

ME=0.014

Sample Proportion=0.725

Step-by-step explanation:

-The margin of error is defined as the percentage by which obtained results differ from the real population value.

-It is calculated as half the difference between the confidence interval levels:

$ME=\frac{1}{2}[CI_u-CI_l]\\\\=0.5[0.739-0.711]\\\\=0.014$

Hence, the margin of error is 0.014

-The sample proportion is mathematically half the sum of the confidence intervals:

$ME=\frac{1}{2}[CI+u-CI_l]\\\\=0.5[0.739+0.711]\\\\=0.725$

Hence, the sample proportion is 0.725