Cats and Dogs the Table Shows Whether Students in an Introductory

question 59

Essay

Cats and dogs The table shows whether students in an introductory statistics class like dogs and/or cats. $\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Like Dogs }$
$\text { Like Cats }\begin{array}{|c|c|c|c|}\hline & \text { Yes } & \text { No } & \text { Total } \\\hline \text { Yes } & 194 & 21 & 215 \\\hline \text { No } & 110 & 10 & 120 \\\hline \text { Total } & 304 & 31 & 335 \\\hline\end{array}$
a. What is the marginal distribution (in %) of "liking dogs"?
b. What is the conditional distribution (in %) of "liking dogs" for students who like cats?
c. What kind of display(s) would you use to examine the association between "liking dogs"and "liking cats"? (Just name a graph.)
d. Do "liking dogs" and "liking cats" appear to be independent? Give statistical evidence to support your conclusion.

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Definitions:

Normal Distribution

A bell-shaped distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

Outliers

Data points that significantly differ from other observations in a dataset, potentially indicating a measurement error or a different underlying process.

Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution of data, aiming to provide a description of the set’s overall behavior.

Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution of data, aiming to describe the data's center point.