A single observation of a random variable having a geometric distribution is to be used to test the null hypothesis that its parameter equals 0 against the alter native that it equals 1 0 Use the Neyman Pearson lemma to find the best critical region of size

Question: A single observation of a random variable having a geometric distribution is to be used to test the null hypothesis that its parameter equals 0

A single observation of a random variable having a geometric is to be used to test the null hypothesis that its parameter equals θ0 against the alter-native that it equals θ1 > θ0. Use the Neyman-Pearson lemma to find the best critical region of size α.

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