True or False? A small pilot study is run to compare a new drug for chronic pain

Question

True or False? A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale: 1=Pain is much worse, 2=Pain is slightly worse, 3= No change, 4=Pain improved slightly, 5=Pain much improved. A Mann-Whitney U test with a 5% level of significance is run.

New Drug: 4 5 3 3 4 2

Standard Drug: 2 3 4 1 2 3

If a test is run and p=0.0356, then we can reject H0 at a=0.01.

Explanation / Answer

We reject Ho only if the p - value for the test is less than the given level of significance.

In this scenario,

p - Value = 0.0356

Level of significance = 0.01

p - value > 0.01 so we do not reject Ho.

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