Geometric hypothesis testing

• How do you chose the correct critical region for geometric hypothesis testing for the case (where the probability is 0.1and the critical region is 0.05)

  1. p>0.1
  2. p<0.1

  -1. if you assume the probability is greater then you make the assumption that it takes less events to get a success so:

  (1-0.1)^x-1 (<or=) 0.05

  trying to find the value of x for which x or less happening is less than 5%

  -2. And vice versa