The travel agent surveyed tourists at random and constructed a 95% confidence interval for the proportion of tourists who were extremely satisfied with their Jeju visit to be (0.5627, 0.8057). What is the margin of error? Give the exact answer as a decimal.

The margin of error is 0.1215

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound. The margin of error is the difference between these two bounds, divided by 2.

In this problem, we have that:

Lower bound: 0.5627

Upper bound: 0.8057

What is the margin of error?

(0.8057 - 0.5627) / 2 = 0.1215

The margin of error is 0.1215