Question

Suppose a group of 800 smokers (who all wanted to give up
smoking) were randomly assigned to receive an antidepressant drug
or a placebo for six weeks. Of the 543 patients who received the
antidepressant drug, 221 were not smoking one year later. Of the
257 patients who received the placebo, 42 were not smoking one year
later. Given the null hypothesis
*H*0:(*p**d**r**u**g*−*p**p**l**a**c**e**b**o*)=0
and the alternative hypothesis
*H**a*:(*p**d**r**u**g*−*p**p**l**a**c**e**b**o*)≠0,
conduct a test to see if taking an antidepressant drug can help
smokers stop smoking. Use *α*=0.04,

(a) The test statistic is

(b) The P-value is

(c) The final
conclusion is

**A.** There is not sufficient evidence to determine
whether the antidepressant drug had an effect on changing smoking
habits after one year.

**B.** There seems to be evidence that the patients
taking the antidepressant drug have a different success rate of not
smoking after one year than the placebo group.

Answer #1

*Test
Statistics*

**(b) The P-value i:**

with z = 6.848 ( two tailed )

we get p value = 0

**(c) The final conclusion is**

p value < L.o.s

0 < 0.05

reject the null hypothesis

**Answer : Option ( B )**

**There seems to be evidence that the patients taking the
antidepressant drug have a different success rate of not smoking
after one year than the placebo group.**

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