The Results of a Recent National Survey Reported That $70 \%$

question 8

Short Answer

The results of a recent national survey reported that $70 \%$ of Americans recycle at least some of the time. As part of their final project in statistics class, Nayla and Roberto survey 5 random students on campus and ask them if they recycle at least some of the time. They then repeat this experiment 1000 times. The results of their research are shown below.
$\begin{array}{l|l|c|c|c|c|c}\mathrm{X} \text { (number who recycle out of 5) } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 2 & 25 & 139 & 306 & 356 & 172\end{array}$

Is there evidence to support the belief that the random variable $X$ , the number of students out of 5 who recycle at least some of the time, is a binomial random variable with $\mathrm { p } = 0.7$ at the $\alpha = 0.05$ level?

---

Definitions:

Computer Files

Digital documents, data, or programs stored on a computer or digital storage media that can be accessed and used by computer software.

Electricity

A form of energy resulting from the existence of charged particles, such as electrons or protons, typically used as a power source.

Fraudulently

Acting with intentional deception or dishonesty to gain an unauthorized benefit or to harm another party.

Forgery

The crime of creating, altering, or imitating objects, statistics, or documents with the intent to deceive.