In a city study, 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 & had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs & had 4 accidents. At ? = .01, did the yellow fire trucks have a significantly lower accident rate?
(a) State the hypotheses.
(b) State the decision rule & sketch it
(c) Find the sample proportions & z test statistic.
(d) Make a decision.
(e) Find the p-value & interpret it.
(f) If statistically significant, do you think the difference is large enough to be important?
(g) Is the normality assumption fulfilled?