Answer Happy

A 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. Suppose that the sample size for each sample was 1,000. Data consistent with summary values from the study are summarized in the accompanying table. Students Teachers Freedom of Speech 652 400 USE SALT Most Important First Amendment Right Freedom Freedom of the of Press Religion Freedom to Peacefully Assemble 30 55 249 420 20 55 Freedom to Petition the Government 49 70 (a) Carry out a hypothesis test to determine if there is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. Use a significance level of a = 0.01. Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Fail to reject Ho. There is not convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. O Reject Ho. There is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. O Reject Ho. There is not convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. O Fail to reject Ho. There is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. (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. The result of part (a) tell us that there is ---Select--- evidence that students and teachers have different beliefs regarding the most important First Amendment right categories. Analysis of the observed and expected counts indicate that the largest deviations between students and teachers occur in which two categories? (Select all that apply.) Freedom of Speech Freedom of the Press Freedom of Religion O Freedom to Peacefully Assemble O Freedom to Petition the Government