Do free samples influence prescription decisions? To answer this question, a stu

Question

Do free samples influence prescription decisions? To answer this question, a study randomly assigned resident physicians to either accept free drug samples or refuse them. The researchers then examined prescriptions for drugs that are available both by prescription and in an over-the-counter (OTC) version. Of the 202 relevant prescriptions written by physicians accepting free samples, 51 stipulated the OTC version. Of the 188 relevant prescriptions written by physicians refusing free samples, 73 stipulated the OTC version.

Consider these data as two random samples from the population of prescriptions written by resident physicians with or without access to free samples.

Is this good evidence that physicians who receive free samples write fewer prescriptions stipulating an over-the-counter version?

You will test the hypotheses: H0: p1 = p2 versus Ha: p1 < p2.

The pooled sample proportion of prescriptions written by resident physicians with or without access to free samples is about

A.

p?= 0.14.

B.

p?= 0.32.

C.

p?= 0.50.

D.

p?= 0.64.

A.

p?= 0.14.

B.

p?= 0.32.

C.

p?= 0.50.

D.

p?= 0.64.

Explanation / Answer

p1 = 51/202 = 0.2525

p2 = 73/188 = 0.3883

Pooled Proportion = (51+73)/(202+188) = 0.32

Option B is Correct

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