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:

Intrinsic Motivation

The drive to engage in an activity for its own sake, deriving pleasure and satisfaction from the activity itself rather than for some external reward.

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, or praise, as opposed to inherent satisfaction.

Fixed

In a context, it refers to something that is securely attached or set in position without any movement; unchangeable.

Growth

A process of increase in size, number, value, or strength.