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...

Extracted 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?