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Conditions for a goodness-of-fit test

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Miriam wants to test if her 10-sided die is fair. In other words, she wants to test if some sides get rolled more often than others. She plans on recording how often each side appears in a series of rolls and carrying out a χ2 goodness-of-fit test on the results.
What is the smallest sample size Miriam can take to pass the large counts condition?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
total rolls