Question

(1 point) Suppose a group of 900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 434 patients who received the antidepressant drug, 111 were not smoking one year later. Of the 466 patients who received the placebo, 175 were not smoking one year later. Given the null hypothesis H: (Pdrug - Pplacebo) = 0 and the alternative hypothesis He : (Pdrug - Pplacebo) + 0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use a = 0.01, (a) The test statistic is (b) The P-value is (C) The final conclusion is OA. 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 B. There is not sufficient evidence to determine whether the antidepressant drug had an effect on changing smoking habits after one year.

Answer 1

Soluton-A;

Ho:p1-p2=0

Ha:p1-p2 not =0

alpha=0.01

In TI 83 calcualtor

use

STAT>TESTS>2-PropZtest

we get

TEXAS INSTRUMENTS TI-83 Plus 2-PropZTest x1:111 n1:434 X2:175 n2:466 P1:#P2 P2 P2 Calculate Draw 2-PropZTest P1#P2 Z= -3.856222527 P=1.1519538E-4 P15.2557603687 2=.3755364807 VA=.3177777778 STATPLOTF: TEISET P2 FORMAT P3 CALC F TRACE TABLE FS GRAPH Y= WINDOW ZOOM FORMAT F3 CALC F TARIE F5 STATPLOTF: TEISET P2 Y= WINDOW ZOOM TRACE GRAPH QUIT INS QUIT INS DEL 2nd MODE DEL A-LOCK LINK LIST ALPHA X,1,en STAT TEST AANGLE DRAWC DISTR 2nd MODE FB LINK LIST A-LOCK ALPHA XT..n STAT TEST ANGIELDRAW DISTR

(a)test statistic is z=-3.8562

(b)p value=0.00012

(c)p<0.01

Reject Ho

There seems to be evidence that the patients taking the anti depressant drug have a different success rate

of not smoking after one year than the placebo group.