# statistical inference

*label*Mathematics

*timer*Asked: Mar 30th, 2015

**Question description**

True or False: If a well-designed business survey shows that 81% of Americans favor brand *X* yogurt over brand *Y*. Assuming the results were calculated using a margin of error of ± 3.5%, then the true proportion of Americans favoring brand *X* over brand *Y* is guaranteed to be between 77.5% and 84.5%.