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The Accompanying Data Refers to Leaf Marks Found on White χ2\chi ^ { 2 }

Question 34

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 χ2\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  Type of mark \text { Type of mark }
 L  LL  Y+YL  O  Others  Row Total  Long-grass areas 41012238277730 Short-grass areas 51561613220770 Column Total 925183921497\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}

Correct Answer:

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Let blured image = the proportion of white clover in...

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