The Accompanying Data Refers to Leaf Marks Found on White $\chi ^ { 2 }$

question 27

Essay

The accompanying data refers to leaf marks found on white clover samples selected from both long-grass areas and short-grass areas. Use a $\chi ^ { 2 }$ test at .01 level of significance to decide whether the true proportions of different marks are identical for the two types of regions. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Type of mark }$
$$\begin{array}{l}\begin{array} { l | c c c c c | c } \hline & \text { L } & \text { LL } & \text { Y+YL } & \text { O } & \text { Others } & \text { Row Total } \\\hline \text { Long-grass areas } & 410 & 12 & 23 & 8 & 277 & 730 \\\text { Short-grass areas } & 515 & 6 & 16 & 13 & 220 & 770 \\\hline \text { Column Total } & 925 & 18 & 39 & 21 & 497 & \\\hline\end{array}\end{array}$$

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Definitions:

Reputation

The overall perception or esteem in which an individual, organization, or product is held by the public based on past actions or performance.

Lawsuit

A legal action or proceeding involving a dispute between two or more parties seeking judicial resolution.

Grade Reduction

The lowering of academic grades based on criteria or performance below expected standards.

Omission

The act of leaving out or excluding something, either intentionally or accidentally.