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in group 1 received the new vaccine while subjects in group 2 received a control

ID: 3338546 • Letter: I

Question

in group 1 received the new vaccine while subjects in group 2 received a control vacoine. Afier the In randomized, double-bind clinical triais of a new vaccine, monkeys wore randomly dvided into two groups first dose, 110 of 720 subjects in the experimental group (group 1) experienced fever as a side offect Afler the Erst dose, 69 of 622 of the subects in the control group (group 2) experienced ever as a side effect Construct a 95% confidence interval for the difference between the two popdation prooins, p, 72069, and n622 The 95% confidence interval for p1-p2 is (Use ascending order Round to throe decimal places as needed)

Explanation / Answer

95% C.I for p1-p2

X1=110,n1=720,x2=69,n2=622

P1=110/720=0.153

P2=69/622=0.111

P1-p2=0.153-0.111= 0.042

S.Ep1-p2=sqrt{(0.153)(1-0.153)/720+(0.111)(1-0.111)/622}

=Sqrt(0.00018+0.00016)

=0.0185

Here 95% confidential interval value of z= 1.96

Margin of error = 1.96*0.0185=0.037

C. I of Lower limit is =0.042-0.037=0.005

Upper limit=0.042+0.037=0.079

95% for C.IP1-P2 IS (0.005,0.079)