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The Following Table Shows the Results from a Study to See

Question 20

Multiple Choice

The following table shows the results from a study to see if a home remedy ointment for mosquito bites worked better than a placebo. Each participant was randomly assigned to receive the home remedy ointment or the placebo ointment. "Improvement" means no symptoms of itching after three minutes.  Home  Remedy  Placebo  Total  No Improvement 246 Improvement 6511 Total 8917\begin{array}{lccc} & \text { Home } & & \\& \text { Remedy } & \text { Placebo } & \text { Total } \\\text { No Improvement } & 2 & 4 & 6 \\\text { Improvement } & 6 & 5 & 11 \\\text { Total } & 8 & 9 & 17\end{array}
The alternative hypothesis is that the home remedy ointment leads to improvement (in this case, less itching) . The p-value for a one-tailed Fisher's exact test with these data is 0.6180.618 . Suppose the study had turned out differently, as in the following table.
 Home  Remedy  Placebo  Total  No Improvement 066 Improvement 8311 Total 8917\begin{array} { l c c c } & \begin{array} { c } \text { Home } \\ \text { Remedy } \end{array} & \text { Placebo } & \text { Total } \\ \text { No Improvement } & 0 & 6 & 6 \\ \text { Improvement } & 8 & 3 & 11 \\ \text { Total } & 8 & 9 & 17 \end{array} Would Fisher's Exact Test have led to a p-value larger or smaller than 0.618?


A) The p-value would be smaller.
B) The p-value would be larger.

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