A Researcher Wishes to Test Whether the Proportion of College

question 29

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.

Recognize scenarios where hypergeometric distribution is applicable through practical examples.

Understand and apply Poisson distribution and its properties.

Identify the conditions under which Poisson distribution provides a good approximation to binomial probabilities.

Compute probabilities and statistical measures (mean, variance, standard deviation) of Poisson distribution given specific parameters.

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Definitions:

Amabile's Model

A theory proposed by Teresa Amabile that outlines the impact of intrinsic motivation, domain-relevant skills, and creativity-relevant processes on an individual's creative output.

Support for Creativity

The encouragement and facilitation of innovative thinking and original ideas within an organization or community.

Innovation Process

The sequence of activities that an individual or organization undertakes to conceive, develop, and implement new ideas or products.

Heuristics

Mental shortcuts or rules of thumb that allow individuals to make decisions quickly and efficiently, but sometimes at the cost of accuracy.