The Knight Foundation asked each person in a representative sample of high school students and in a representative sample of high school teachers which of the rights guaranteed by the First Amendment they thought was the most important (“Future of the First Amendment 2014 Survey of High SchoolStudents and Teachers,” knightfoundation.org  /media/uploads/publication_pdfs/Future_of_the _First_Amendment_cx2.pdf, retrieved May 27, 2017). Suppose that the sample size for each sample was 1000. Data consistent with summary values given in the paper are summarized in the table at the bottom of the page.

a. Carry out a hypothesis test to determine if there is convincing evidence that the proportions falling into the five First Amendment right categories are not the same for teachers and students. Use a significance level of 0.01.

b. Based on your test in Part (a) and a comparison of observed and expected cell counts, write a brief description of how teachers and students differ with respect to what they view as the most important of the First Amendment rights.