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and the risk of accidents at a junction. Suppose we observe the following frequenc distribution of the mumber of accidents in 150 weeks. Number of Accidents 0 Observed frequency 1 3. 4. 6 7+ 50 30 24 30 10 5 1

and the risk of accidents at a junction. Suppose we observe the following frequenc distribution of the mumber of accidents in 150 weeks. Number of Accidents 0 Observed frequency 1 3. 4. 6 7+ 50 30 24 30 10 5 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Transport engineers are interested to study the pattern

and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the mumber of accidents in 150 weeks. Number of Accidents Observed frequency 0. 1 3. 4. 67+ 50 30 24 30 10 5 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?
Transcribed Image Text:and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the mumber of accidents in 150 weeks. Number of Accidents Observed frequency 0. 1 3. 4. 67+ 50 30 24 30 10 5 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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