A Researcher Wishes to Test Whether the Proportion of College

question 43

Essay

A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She randomly selects 100 students from each college and records the number that smoke. The results are shown below.
$$\begin{array} { r | r r r r } & \text { College A } & \text { College B } & \text { College C } & \text { College D } \\\hline \text { Smoke } & 17 & 26 & 11 & 34 \\\text { Don't smoke } & 83 & 74 & 89 & 66\end{array}$$
Use a 0.01 significance level to test the claim that the proportion of students smoking is the same at all four colleges.

---

Definitions:

Social Innovation

The development and implementation of novel solutions to social problems that aim to enhance society's capacity to act.

Teaching

The act or profession of educating students, imparting knowledge or skills to others through various methodologies.

Creative Destruction

A concept in economics that refers to the process through which new innovations lead to the demise of older technologies and economic structures.

Social Destruction

The process by which the social fabric of a community or society is damaged or degraded, often through conflict, neglect, or adverse policies.