Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 20

Study guide: Exam MAS-I

An insurance company has classified claims into 5 categories based on their severity.

The null hypothesis H_0 assumes the numbers of claims for Categories 1, 2, 3, 4 and 5 appear in the following ratios:

12 : 8 : 6 : 4 : 1

In 2017, the insurance company recorded the numbers of claims as follows:

Category # of Claims
1 1172
2 829
3 605
4 347
5 102

Calculate the Chi-square goodness-of-fit statistic.

  • A) Less than 5.5
  • B) At least 5.5, but less than 6.5
  • C) At least 6.5, but less than 7.5
  • D) At least 7.5, but less than 8.5
  • E) At least 8.5

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