The Following Table Shows the Results from a Study to See

question 4

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 there were no symptoms of itching after three minutes.
$\begin{array} { l c c c } & \text { Home } & & \\ & \text { Remedy } & \text { Placebo } & \text { Total } \\ \text { No Improvement } & 2 & 4 & 6 \\ \text { Improvement } & 6 & 5 & 11 \\ \text { Total } & 8 & 9 & 17 \end{array}$
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 $0.618$ . Suppose the study had turned out differently, as in the following table.
$\begin{array} { l c c c } & \text { Home } & & \\ \text { No Improvement } & 6 & 0 & 6 \\ \text { Improvement } & 2 & 9 & 11 \\ \text { Total } & 8 & 9 & 17 \end{array}$
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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