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Q141Section III (Statistics)141 of 180

Testing a Bernoulli proportion — the Wald statistic

Suppose X∼B(1,p)X\sim B(1,p) distribution, 0<p<10<p<1. On the basis of a random sample of size nn from the distribution of X, we want to test H0:p=p0H_0:p=p_0 against the alternative H1:p≠p0H_1:p\neq p_0, where p0p_0 is a specified constant. Then asymptotic null distribution of which of the following test statistics is N(0,1)N(0,1)?

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