Question

open-ended question
final checkpoint question (2/3): we calculated a confidence interval of (.4398,.5202) for ( p ) = the true proportion of u.s. adults who \often or always\ got enough sleep during the past 7 nights.
does this interval provide convincing evidence that a majority of u.s. adults \often or always\ got enough sleep during the past 7 nights?
briefly explain why or why not below but be specific!

Explanation:

Step1: Understand the concept of majority

A majority means \( p>0.5 \).

Step2: Analyze the confidence interval

The confidence interval is \((0.4398, 0.5202)\). Since this interval contains values less than \(0.5\) (for example, \(0.4398<0.5\)), we cannot be confident that \(p > 0.5\).

Answer:

No. The confidence interval \((0.4398, 0.5202)\) contains values less than \(0.5\). So, it does not provide convincing evidence that a majority ( \(p>0.5\)) of U.S. adults "often or always" got enough sleep during the past 7 nights.