In a random sample of 250 ucla students, 98 of them say they take a bus to the university.

(a) Construct a 99% confidence interval for the true proportion of ucla students who take a bus to the university.

(b) Provide an interpretation of the interval in (a).

(c) Conduct a hypothesis test at the 1% level of significance to determine whether there is evidence that the true proportion of ucla students who take a bus to the university differs from 0.35. Show all of your steps.

(d) Provide an interpretation of the P-value of the test in (c).