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Some Chronic Conditions Produce Episodes of Severe Flare-Ups ("Active" Stage)

Question 36

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Some chronic conditions produce episodes of severe flare-ups ("active" stage) between healthy periods ("inactive" stage) . The active stage often necessitates immediate medical treatment. Researchers looked for biomarkers that might help identify these active stages. Here are data on the relative abundance of the protein BPG0199 in two independent random samples of men with the same chronic condition, 7 men in the active phase and 9 men in the inactive phase:
 Active  Inactive 2.61.22.72.12.01.82.41.51.91.91.43.21.81.31.91.6\begin{array} { | l | l | } \hline \text { Active } & \text { Inactive } \\\hline 2.6 & 1.2 \\\hline 2.7 & 2.1 \\\hline 2.0 & 1.8 \\\hline 2.4 & 1.5 \\\hline 1.9 & 1.9 \\\hline 1.4 & 3.2 \\\hline 1.8 & 1.3 \\\hline & 1.9 \\\hline & 1.6 \\\hline\end{array} We want to know if there is a significant difference in the relative abundance of the protein BPG0199 between men in the active stage and men in the inactive phase. Therefore, we test the following hypotheses:
?
H0: ?A= ?1 versus Ha: ?A? ?1
The test degrees of freedom is roughly 13. Which value is the P-value for the test closest to?


A) 0.001
B) 0.03
C) 0.1
D) 0.3

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