Solution :
Given that,
= x1 / n1 = 383 / 544 = 0.704
1- = 0.296
= x2 / n2 = 443 / 591 = 0.75
1 - = 0..25
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]
(0.704 - 0.75) 1.96 * [(0.704 * 0.296) / 544 + (0.75 * 0.25) / 591]
-0.097 < p1 - p2 < 0.006
-0.097 to 0.006
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