For testing the difference between two proportions is used as the approximate standard error of p1 -
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is used as the approximate standard error of p̂1 - p̂2, where p̂c is the pooled sample proportion. Explain why this is reasonable when the null-hypothesized value of p1 - p2 is zero. Why would this not be a good approximation when the null-hypothesized value of p1 - p2 is a nonzero number? What would you recommend using for the standard error of p̂1 - p̂2 in that case?
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Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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