In: Statistics and Probability
1. If a company can identify times of the day during an 8 hour work shift when accidents are most likely to occur extra precautions can be instituted during those times. A random sampling of the accident report records over the last year at the factory gives the following frequency of occurrence of accidents during the different hours of the work shift. Can it be concluded based upon the data in the table that the proportions of accidents are equal for the four time periods? Use alpha = 0.01 for any hypothesis test
HOURS 1-2 3-4 5-6 7-8
# of accidents 31 28 45 47
Here, we conduct Chi square test for goodness of fit as :
Hence, it can be concluded based upon the data in the table that the proportions of accidents are equal for the four time periods at 1% level of significance.