Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 23

Study guide: Exam MAS-I

A six-sided die is rolled 180 times and the following results were recorded:

Roll Result 1 2 3 4 5 6
Frequency 30 30 30 30 X Y
  • You use a Chi-squared test to evaluate the following hypothesis:
    • H_0: The die is fair (each roll result is equally likely)
    • H_1: The die is not fair
  • The test significance level \alpha = 0.05
  • X < Y

Calculate the largest value of X that would lead to a rejection of the null hypothesis.

  • A) Less than 17
  • B) 17
  • C) 18
  • D) 19
  • E) At least 20

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