(a) Find an estimate (to four decimal places) of the average number of accidents in a week. (b) Perform a goodness of fit test at the 5% significance level of the null hypothesis that the observed number of accidents follow a Poisson distribution. Hint: Use the estimate (to four decimal places) you computed in (a) and report the expected frequency and observed value of the statistic to four decimal places. (c) What is the p-value of your test in (b)? Does the p-value indicate that there is evidence against the null hypothesis?
(a) Find an estimate (to four decimal places) of the average number of accidents in a week. (b) Perform a goodness of fit test at the 5% significance level of the null hypothesis that the observed number of accidents follow a Poisson distribution. Hint: Use the estimate (to four decimal places) you computed in (a) and report the expected frequency and observed value of the statistic to four decimal places. (c) What is the p-value of your test in (b)? Does the p-value indicate that there is evidence against the null hypothesis?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![Question 4 [25 marks].
and the risk of accidents at a junction. Suppose we observe the following frequency
distribution of the number of accidents in 150 weeks.
Transport engineers are interested to study the pattern
Number of Accidents
1
2
3
4
6.
7+
Observed frequency
50
30
24
30
10
1
(a) Find an estimate (to four decimal places) of the average number of accidents in a
week.
(b) Perform a goodness of fit test at the 5% significance level of the null hypothesis
that the observed number of accidents follow a Poisson distribution.
Hint: Use the estimate (to four decimal places) you computed in (a) and report
the expected frequency and observed value of the statistic to four decimal places.
(c) What is the p-value of your test in (b)? Does the p-value indicate that there is
evidence against the null hypothesis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43d0e95b-adf7-4853-9f89-b5b1a293ee52%2Fcf8b82a0-9805-4c74-b7c5-bc9bc02e31b3%2F6nx6wsn_processed.png&w=3840&q=75)
Transcribed Image Text:Question 4 [25 marks].
and the risk of accidents at a junction. Suppose we observe the following frequency
distribution of the number of accidents in 150 weeks.
Transport engineers are interested to study the pattern
Number of Accidents
1
2
3
4
6.
7+
Observed frequency
50
30
24
30
10
1
(a) Find an estimate (to four decimal places) of the average number of accidents in a
week.
(b) Perform a goodness of fit test at the 5% significance level of the null hypothesis
that the observed number of accidents follow a Poisson distribution.
Hint: Use the estimate (to four decimal places) you computed in (a) and report
the expected frequency and observed value of the statistic to four decimal places.
(c) What is the p-value of your test in (b)? Does the p-value indicate that there is
evidence against the null hypothesis?
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