Q.1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations - The Practice of Statistics for AP

Question

According to the Web site sleepdeprivation.com, 85% of teens are getting less than

eight hours of sleep a night. Jannie wonders whether this result holds in her large high school. She asks an SRS of 100 students at the school how much sleep they get on a typical night. In all, 75 of the responders said less than 8 hours.

Step-by-Step Solution

Answer

The boundary of interest is the true population proportion of students who are getting sleep less than $8$ hours. 

Step 1: introduction

Teens are getting less than eight hours of sleep a night =$85\%$ 

Out of $100$ students at the school, $75$ of the responders said less than $8$ hours of sleep. 

Step 2: explanation

From the above information, the null and alternative hypotheses are-

$\begin{array}{r}{H}_0:p=0.85\\ H_a:p\ne 0.85\end{array}$

The boundary of interest is the true population proportion of students who are getting sleep less than $8$ hours.