The Roads and Traffic Authority in New South Wales would like to have a clear understanding of the number of accidents o

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The Roads and Traffic Authority in New South Wales would like tohave a clear understanding of the number of accidents on the roadsacross New South Wales by the type of vehicle involved in theaccident for this year. Based on previous five year average,the predicted proportions and the observed counts are given in thetable below:
Using the given information calculate the expected number ineach group, and the contribution to the chi-squared statistic, andplace your answers in the boxes provided in the table (10marks).
Motor cycles
Small cars
Medium cars
Large cars
Trucks
Total
Predicted proportion
0.20
0.18
0.26
0.16
0.20
1
Observed Counts
56
49
84
55
41
285
Expected Counts (1dp)
Answer
Answer
Answer
Answer
Answer
285
Chi-Squared contribution (4dp)
Answer
Answer
Answer
Answer
Answer
1. (2 marks) Using the information, from the table above,calculate the value of the chi-squared statistic. (2dp).....
2. (2 marks) What are the degrees of freedom of thechi-squared statistic? (integer)....
3. (2 marks) What is the P-value? (3dp)......
4. (2 marks) Using a 5% significance level, the correctdecision is to ( reject the null hypothes / is not reject the nullhypothesis )
5. (2 marks) The proportions for the groupings ( may be asstated in the null hypothesis / are different to those stated innull hypothesis )