Construct a confidence interval for p1−p2 at the given level of confidence.
x1=362
n1=512
x 2=415
n2=578
90% confidence
confidence
From standard normal tables, we have:
P(-1.645 < Z < 1.645) = 0.9
The pooled proportion here is computed as:
P = (x1 + x2) / (n1 +
n2) = (362 + 415) / (512 + 578) = 0.7128
The standard error here is computed as:
Therefore the confidence interval here is obtained as:
This is the required 90% confidence interval here.
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