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In: Statistics and Probability

For the GEOMETRIC distribution: 1a) Determine the most powerful critical region for testing H0 p=p0 against...

For the GEOMETRIC distribution:

1a) Determine the most powerful critical region for testing H0 p=p0 against H1 p=θp (p1 > p0) using a random sample of size n.

1b) Find the uniformly most powerful H0 p<θ0 against H1 p>θ1

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