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Questions 1-7 thank you! 140 Plavix is a drug that is given to angioplasty patie

ID: 3309489 • Letter: Q

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Questions 1-7 thank you! 140 Plavix is a drug that is given to angioplasty patients to help prevent blood clots. A researcher at McMaster University organized a study that involved 12,562 patients in 482 hospitals in 28 countries. All the patients had acute coronary syn- drome, which produces mild heart attacks or unstable angina, chest pain that may precede a heart attack. The patients were divided into two equal groups. Group 1 received daily Plavix pills, while group 2 received a placebo. After 1 year 9.3% of patients on Plavix suffered a stroke or new heart attack, or had died of cardiovas- cular disease, compared with 11.5% of those who took the placebo. |

Explanation / Answer

140.

1.
Yes, it is comparison of two population proportions means

2.
overall population proportions means = (0.093+0.115)/2 = 0.104

3.
standard error = sqrt( p1 * (1-p1)/n1 + p2 * (1-p2)/n2 )
where
p1, p2 = proportion of both sample observation
n1, n2 = sample size
standard error = sqrt( (0.093*0.907/12562) +(0.115 * 0.885/12562))
=0.00385

5.
Given that,
sample one, x1 =1168.266, n1 =12562, p1= x1/n1=0.093
sample two, x2 =1444.63, n2 =12562, p2= x2/n2=0.115
null, Ho: p1 = p2
alternate, H1: p1 != p2
level of significance, = 0.05
from standard normal table, two tailed z /2 =1.96
since our test is two-tailed
reject Ho, if zo < -1.96 OR if zo > 1.96
we use test statistic (z) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.093-0.115)/sqrt((0.104*0.896(1/12562+1/12562))
zo =-5.711713
| zo | =5.711713
critical value
the value of |z | at los 0.05% is 1.96
we got |zo| =5.712 & | z | =1.96
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -5.7117 ) = 0.000035
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: p1 = p2
alternate, H1: p1 != p2
test statistic: -5.711713
critical value: -1.96 , 1.96
decision: reject Ho
p-value: 0.000035

6.
we have enough evidence to support that taking drug plavix can really reduce your chance to get a heart attack
7. level siginificance is 0.05 = 5%