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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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Expert Solution

GEOMETRIC DISTRIBUTION:

A geometric distribution is defined as a discrete probability distribution of a random variable “x” which satisfies some of the conditions. The geometric distribution conditions are

  • A phenomenon that has a series of trials
  • Each trial has only two possible outcomes – either success or failure
  • The probability of success is the same for each trial.

orchestra answered 1 year ago
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