Homework Help is Here – Start Your Trial Now!
Math
Statistics
Transport engineers are interested to study the pattern Question 4 and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the number of accidents in 150 weeks. Number of Accidents 0. 1 3 4. 6. 7+ Observed frequency 50 30 24 30 10 (Y Find an estimate (to four decimal places) of the average number of accidents in a week. 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?

Transport engineers are interested to study the pattern Question 4 and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the number of accidents in 150 weeks. Number of Accidents 0. 1 3 4. 6. 7+ Observed frequency 50 30 24 30 10 (Y Find an estimate (to four decimal places) of the average number of accidents in a week. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Question 4 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 0. 1 3 4. 7+ Observed frequency 50 30 24 30 10 5 1 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?
Transcribed Image Text:Question 4 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 0. 1 3 4. 7+ Observed frequency 50 30 24 30 10 5 1 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?
Expert Solution
steps

Step by step

Solved in 4 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS