Using the above numbers as an example... from this sample size, we can be fairly confident that the current Uber fatality rate is greater than the sober human fatality rate (assuming that the Uber rate is 1 fatality every 3m miles and the human rate is 1 every 100m miles). Here, T is in "millions of miles".

    > poisson.test(1,3,1/100, alt='greater')
    
    	Exact Poisson test
    
    data:  1 time base: 3
    number of events = 1, time base = 3, p-value = 0.02955
    alternative hypothesis: true event rate is greater than 0.01
    95 percent confidence interval:
     0.01709776        Inf
    sample estimates:
    event rate 
     0.3333333