The small-sample confidence interval for comparing two proportions is a simple adjustment of the large-sample one. Recall
Question:
a. With the ordinary formula, show that
(i) p̂1 = p̂2 = 0,
(ii) se = 0, and
(iii) The 95% confidence interval for p1 - p2 is 0 { 0, or (0, 0). Obviously, it is too optimistic to predict that the true difference is exactly equal to 0.
b. Find the 95% confidence interval using the small sample method described here. Are the results more plausible?
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Related Book For
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin
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