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.

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Definitions:

Unfamiliar Stories

Narratives or tales that are not previously known to the listener or reader, often used in psychological research to assess comprehension and memory.

Coherent

Logically connected or consistent in argument or presentation.

Wrongful Conviction

The conviction of a person for a crime they did not commit, often due to errors in the legal process.

False Identification

The incorrect recognition or naming of a person or object, often relevant in legal contexts.