Solution :
Given that,
= x1 / n1 = 35 / 50 = 0.7
1- = 0.3
= x2 / n2 = 40 / 60 = 0.667
1 - = 0.333
At 95% confidence level the z is ,
Z/2 = Z 0.025 = 1.96
95% confidence interval for p1 - p2 is
,
(
-
)
Z/2 *
[(1-
) / n1 +
(1 -
) / n2]
(0.7 - 0.667) 1.96 * [(0.7 * 0.3) / 50 + (0.667 * 0.333 ) / 60]
-0.141 < p1 - p2 < 0.208
(-0.141 , 0.208)
D)
from independent samples Construct a 95% confidence interval for p - p2. The sample statistics listed...
Construct a 95% confidence interval for p1 - p2. The sample statistics listed below are from independent samples. Sample statistics: n1 = 100, x1 = 35, n2 = 60, x2 = 50 A) (-0.141, 0.208) B) (-0.871, 0.872) C) (-2.391, 3.112) D) (-1.341, 1.781)
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