Suppose that a fast food restaurant decides to survey its customers to gauge interest in a breakfast menu. After surveying multiple people, the restaurant created a 95% confidence interval for the proportion of customers interested in a breakfast menu. The confidence interval is (0.349,0.433) . Use the confidence interval to find the point estimate and margin of error for the proportion. Give your answer precise to three decimal places. point estimate

Point estimate: 0.391

Margin of error: 0.042

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the absolute difference between these bounds and the point estimate.

In this question:

Lower bound: 0.349

Upper bound: 0.433

Point estimate: (0.349 + 0.433)/2 = 0.391

Margin of error: |0.349 - 0.391| = |0.433 - 0.391| = 0.042

the circle one