X1 | 16 | X2 | 23 | ||
n1 | 26 | n2 | 55 | ||
P1 | 0.61538 | X1/n1 | P2 | 0.418182 | X2/n2 |
Pbar | 0.48148 | (X1+X2)/(n1+n2) | |||
P1-P2 | 0.19720 |
99.9% Confidence interval:
99.9% CI | alpha | 0.001 |
Zc | 3.290527 | Use Z table |
ME | 0.382708 | Zc*SQRT(P1(1-P1)/n1+P2(1-P2)/n2) |
Upper | 0.57991 | (P1-P2) + Zc*SQRT(P1(1-P1)/n1+P2(1-P2)/n2) |
Lower | -0.1855 | (P1-P2) - Zc*SQRT(P1(1-P1)/n1+P2(1-P2)/n2) |
CI = (-0.186, 0.580)
-0.186 < P1-P2 < 0.580
Construct the 99.9% confidence interval for the difference P.-P, when x, = 16,1, - 26,X2 -23,...
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construct a confidence interval:
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