2. A recent study claimed that more than 15% of all students who have completed a course in Statistics do not have a solid understanding of the concept of the Sampling Distribution. A random sample of 320 students who recently completed a Statistics course were given a basic exam on Sampling Distributions, of which 78 failed the exam (i.e. do not have a solid understanding of Sampling Distributions). a) Test the claim at the o =0.01 level of significance. b) Find a 98% confidence interval for the population proportion of all students who have completed a course in Statistics and do not have a solid understanding of the concept of the Sampling Distribution. State your answer in words (and in-context). Does this agree with your hypothesis test? Explain why or why not