Question 4: UMD DOTS Bus Accuracy UMD DOTS claims that their buses arrive on time at least 77% of the time. However, you have been taking the bus for the past 1000 days and the bus has only been on time 715 days. You would like to test whether or not DOTS estimate is accurate. Part A) Compute a two-sided 95% confidence interval of the actual percentage of time that the bus is on time. lb number (rtol=0.01, atol=0.0001) ub number (rtol=0.01, atol=0.0001) Part B) What are the appropriate null and alternative hypotheses? O (a) Ho : p > Po, H1 : P = Po O (b) Ho : p Po O (d) Ho : p = po, H1 : P # Po O (e) Ho : p 2 Po , H1 : P po O (9) Ho : p > po, H1 : P S Po O (h) Ho : p # po, H1 : p = Po Part C) At a 10% significance level, compute the corresponding p-value under the appropriate and null hypothesis, given the data you collected. P-val number (rtol=0.01, atol=0.0001) Part D) At a 10% significance level, do you think DOTs claim is true? (a) It is likely that DOTS is correct O (b) It is unlikely that DOTS is correct