The Results of a Recent National Survey Reported That 70

question 21

Essay

The results of a recent national survey reported that 70% of Americans recycle at least some of the time. As partof their final project in statistics class, Nayla and Roberto survey 5 random students on campus and ask them ifthey recycle at least some of the time. They then repeat this experiment 1000 times. The results of their researchare shown below. $\begin{array}{l|c|c|c|c|c|c}X \text { (number who recycle out of 5) } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 2 & 27 & 139 & 305 & 358 & 169\end{array}$
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?

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Definitions:

Individual Differences

Variations among individuals in their qualities, abilities, skills, or emotions.

Behavior

The actions or reactions of an object or organism, usually in relation to the environment.

Physical

Pertains to anything involving the body or physical actions.

Mental Characters

Psychological traits or attributes that define an individual's personality or cognitive profile.