# Z test for proportion of accidents of Fire trucks data

In Dallas some fire trucks were painted yellow (instead of red)to heighten their visibility. During a test period the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runds and had 4 accidents. At a=.01, did the yellow fire trucks have a significantly lower accident rate? a)state the hypothesis B) state the decision rule and sketch it c)find the sample proportions and z test statistic)make a decision e)find the p-value and interpret it f)if statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? g)is the normality assumption fulfilled? Explain.

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#### Solution Summary

This solution gives the step by step method for Z test for population proportion for fire trucks problem from the e-text, Applied Statistics in Business and Economics, by Doane and Seward