Asked by Shaniek Wiltshier on Apr 29, 2024
Verified
An insurance company has gathered the following information regarding the number of accidents reported per day over a period of 100 days. 
Using the critical value approach, test to see if the above data have a Poisson distribution.Let α = .05.
Poisson Distribution
A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming these events happen at a constant rate and independently of the time since the last event.
Critical Value Approach
A method in hypothesis testing that involves comparing the test statistic to a threshold or critical value to decide whether to reject the null hypothesis.
Accidents Reported
Accidents Reported refers to the recording of incidents that have led to injuries or damage, which are compiled for analysis, insurance, or regulatory purposes.
- Spot and implement the apt statistical measure for given data scenes (goodness of fit check, independence verification, and multiple proportions investigation).
- Learn about the p-value's function in hypothesis testing and its relevance to the test's final verdict.
- Utilize the Poisson distribution model to analyze real-world data and determine the predicted frequencies.
Verified Answer
JH
Jessica HeathMay 04, 2024
Final Answer :
χ2 = 5.02 < 9.488; no evidence that the distribution is not Poisson.
Learning Objectives
- Spot and implement the apt statistical measure for given data scenes (goodness of fit check, independence verification, and multiple proportions investigation).
- Learn about the p-value's function in hypothesis testing and its relevance to the test's final verdict.
- Utilize the Poisson distribution model to analyze real-world data and determine the predicted frequencies.