In: Statistics and Probability
Assume that the samples are independent and that they have been randomly selected. Construct a 90% confidence interval for the difference between population proportions p1-p2. Round to three decimal places. x1=12, n1=45 and x2=21, n2=51
A.
-0.301 <p1-p2< 0.011
B.
0.453 <p1−p2 < 0.079
C.
0.109 <p1−p2< 0.425
D.
0.081 <p1−p2< 0.453
We have given,
x1=12
n1=45
x2=21
n2=51
Level of significance =1-0.90= 0.1
Z critical value (by using Z table)=1.645
Estimate for sample proportion 1
Estimate for sample proportion 2
Confidence interval formula is
=(-0.301,0.011)
A. -0.301 <p1-p2< 0.011 |