Question: Consider the following procedure for testing the hypothesis H0 : p 0.5 against the alternative H1 : p < 0.5 in BIN(10,p) distribution. We
Consider the following procedure for testing the hypothesis H0 : p ≥ 0.5 against the alternative H1 : p < 0.5 in BIN(10,p) distribution. We take observation X1, and reject H0 if X1 = 0 or accept H0 if X1 ≥ 9; otherwise, we take another observation X2 (with the same distribution as X1 and independent of it). Then, we accept or reject H0 depending on whether X1 + X2 ≥ 5 or X1 + X2 < 5. Determine and graph the power function of this procedure.
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