Question

# (Q24-Q27) An insurance company has gathered the information regarding the number of accidents reported per day...

(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 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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

 p x Oi Ei (Oi - Ei)^2/Ei 0.074273578 0 5 7.427358 0.79329233 0.193111303 1 18 19.31113 0.089019272 0.251044694 2 25 25.10447 0.000434738 0.217572068 3 24 21.75721 0.231193332 0.141421844 4 20 14.14218 2.426358046 0.122576511 5 8 12.25765 1.47887983 0.877423489 100 100 5.019177547 260 lambda 2.6 p-value 0.413544221

lambda = 2.6

24).What is the expected frequency of exactly 2 accidents per day = 25.10447

25)TS = 5.0192

26)p-value = 0.4135

27)

we fail to reject the null hypothesis as p-value > 0.10

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