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.

---

Definitions:

Pan-Indian Federation

A movement or organization that seeks to unify various Indigenous tribes and nations across geographical boundaries to address common issues and advocate for rights.

Tecumseh

A Native American leader of the Shawnee and a major figure in the early 19th century, advocating for the unification of various Native American tribes to resist westward expansion by European settlers.

Tippecanoe

The site of an 1811 battle in the Indiana Territory, where future President William Henry Harrison defeated Native American forces led by Tecumseh's brother, Tenskwatawa.

Customs Collectors

Officials responsible for collecting duties imposed by a government on imported and exported goods.