In a study of the effectiveness of a fabric device that acts like a support stoc

Question

In a study of the effectiveness of a fabric device that acts like a support stocking for a weak or damaged heart, 110 people who consented to treatment were assigned at random to either a standard treatment consisting of drugs or the experimental treatment that consisted of drugs plus surgery to install the stocking. After two years,30% of the 60 patients receiving the stocking had improved and 22% of the patients receiving the standard treatment had improved. (Use a statistical computer package to calculate the P-value. Use pexperimental pstandard. Round your test statistic to two decimal places and your P-value to four decimal places.)

Explanation / Answer

Null , There Is No Significance between them Ho: p1 = p2
Alternate , There Is Significance between them H1: p1 != p2
Test Statistic
Sample 1 : n1 =60, P1= X1/n1=0.3
Sample 2 : n2 =60, P2= X2/n2=0.11
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.205
Q^ Value For Proportion= 1-P^=0.795
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.3-0.11)/Sqrt((0.205*0.795(1/60+1/60))
Zo =2.578
| Zo | =2.578
P-Value: Two Tailed ( double the one tail ) -Ha : ( P != 2.5778 ) = 0.0099

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