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Sagot :
To fill in the missing values:
1. The number of samples that contain organic matter is given as 700.
2. Out of these 700 samples, the number of positive results (true positives) is 665, meaning there are 700 - 665 = 35 negative results (false negatives).
3. The number of samples that do not contain organic matter is 300.
4. For these 300 samples, the number of positive results (false positives) is 60, meaning there are 300 - 60 = 240 negative results (true negatives).
5. The probability that a positive result means the sample contains organic matter is 91.7%.
So the filled-in table and statement are:
[tex]\[ \begin{tabular}{|c|c|c|c|} \hline & \begin{tabular}{c} Number of \\ Samples \end{tabular} & \begin{tabular}{c} Positive \\ Result \end{tabular} & \begin{tabular}{c} Negative \\ Result \end{tabular} \\ \hline \begin{tabular}{c} Contains \\ Organic Matter \end{tabular} & 700 & 665 & 35 \\ \hline \begin{tabular}{l} Does Not \\ Contain \\ Organic Matter \end{tabular} & 300 & 60 & 240 \\ \hline \end{tabular} \][/tex]
If a soil sample test gives a positive result, it is 91.7% likely that the soil sample contains organic matter.
1. The number of samples that contain organic matter is given as 700.
2. Out of these 700 samples, the number of positive results (true positives) is 665, meaning there are 700 - 665 = 35 negative results (false negatives).
3. The number of samples that do not contain organic matter is 300.
4. For these 300 samples, the number of positive results (false positives) is 60, meaning there are 300 - 60 = 240 negative results (true negatives).
5. The probability that a positive result means the sample contains organic matter is 91.7%.
So the filled-in table and statement are:
[tex]\[ \begin{tabular}{|c|c|c|c|} \hline & \begin{tabular}{c} Number of \\ Samples \end{tabular} & \begin{tabular}{c} Positive \\ Result \end{tabular} & \begin{tabular}{c} Negative \\ Result \end{tabular} \\ \hline \begin{tabular}{c} Contains \\ Organic Matter \end{tabular} & 700 & 665 & 35 \\ \hline \begin{tabular}{l} Does Not \\ Contain \\ Organic Matter \end{tabular} & 300 & 60 & 240 \\ \hline \end{tabular} \][/tex]
If a soil sample test gives a positive result, it is 91.7% likely that the soil sample contains organic matter.
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