Question

(Q24-Q27) An insurance company has gathered the information regarding the number of accidents reported per day over a period of 100 days. The data can be found on the fourth sheet labeled “Accidents” in the “INFO1020 Final Exam DataFile.xlsx”. With the data, you are conducting a goodness-of-fit test to see whether the number of accidents per day can have a Poisson distribution. 24.What is the expected frequency of exactly 2 accidents per day? 25.What is the Chi-square test statistics? Round the value to 4 decimal places, e.g., round 0.25645 up to 0.2565, and round 0.25643 down to 0.2564. 26.What is the p-value? 27.At the 10% level of significance, what is the conclusion of this test? Data:Accidents per day Total Accidents 0 Total number of observations 0 average arrival rate(lambda) 0 0 0 1 Formulate hypotheses 1 Ho the population given by this data matches the poisson distribution 1 Ha the population given by this data does not match the poission 1 2 1 if p <= alpha then reject Ho, otherwise FTR Ho. 1 3 1 Calculation 1 Outcomes Expected Probability Expected Counts Observed Counts (Observed-Expected)^2/Expected 1 1 0 1 1 1 1 1 1 1 1 p-value 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5

Answer 1